{
  "title": "Area of Rectangle (Mensuration) - Grade 6 CBSE",
  "total_questions": 150,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "What is the formula for area of a rectangle?", "options": {"A": "length + width", "B": "length × width", "C": "2 × (length + width)", "D": "length ÷ width"}, "correct_answer": "B"},
    {"id": 2, "difficulty": "easy", "question": "A rectangle has length 5 cm and width 3 cm. What is its area?", "options": {"A": "8 cm²", "B": "15 cm²", "C": "16 cm²", "D": "20 cm²"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "If a rectangle has length 8 m and width 4 m, what is its area?", "options": {"A": "12 m²", "B": "24 m²", "C": "32 m²", "D": "48 m²"}, "correct_answer": "C"},
    {"id": 4, "difficulty": "easy", "question": "What is the area of a rectangle with length 10 cm and width 6 cm?", "options": {"A": "16 cm²", "B": "32 cm²", "C": "60 cm²", "D": "80 cm²"}, "correct_answer": "C"},
    {"id": 5, "difficulty": "easy", "question": "A rectangle measures 7 m by 2 m. What is its area?", "options": {"A": "9 m²", "B": "14 m²", "C": "18 m²", "D": "28 m²"}, "correct_answer": "B"},
    {"id": 6, "difficulty": "easy", "question": "If length = 12 cm and width = 5 cm, area = ?", "options": {"A": "17 cm²", "B": "34 cm²", "C": "60 cm²", "D": "120 cm²"}, "correct_answer": "C"},
    {"id": 7, "difficulty": "easy", "question": "Area of rectangle with length 9 cm and width 4 cm is:", "options": {"A": "13 cm²", "B": "26 cm²", "C": "36 cm²", "D": "72 cm²"}, "correct_answer": "C"},
    {"id": 8, "difficulty": "easy", "question": "What is area if length = 15 m and width = 3 m?", "options": {"A": "18 m²", "B": "30 m²", "C": "45 m²", "D": "75 m²"}, "correct_answer": "C"},
    {"id": 9, "difficulty": "easy", "question": "Rectangle: length = 20 cm, width = 5 cm. Area = ?", "options": {"A": "25 cm²", "B": "50 cm²", "C": "100 cm²", "D": "200 cm²"}, "correct_answer": "C"},
    {"id": 10, "difficulty": "easy", "question": "If a rectangle is 6 m long and 3 m wide, area = ?", "options": {"A": "9 m²", "B": "18 m²", "C": "24 m²", "D": "36 m²"}, "correct_answer": "B"},
    {"id": 11, "difficulty": "easy", "question": "Area of rectangle with dimensions 11 cm × 2 cm is:", "options": {"A": "13 cm²", "B": "22 cm²", "C": "24 cm²", "D": "44 cm²"}, "correct_answer": "B"},
    {"id": 12, "difficulty": "easy", "question": "What is area if length = 14 m, width = 3 m?", "options": {"A": "17 m²", "B": "28 m²", "C": "42 m²", "D": "56 m²"}, "correct_answer": "C"},
    {"id": 13, "difficulty": "easy", "question": "Rectangle measures 8 cm by 7 cm. Area = ?", "options": {"A": "15 cm²", "B": "30 cm²", "C": "56 cm²", "D": "64 cm²"}, "correct_answer": "C"},
    {"id": 14, "difficulty": "easy", "question": "If length = 25 cm, width = 4 cm, area = ?", "options": {"A": "29 cm²", "B": "50 cm²", "C": "100 cm²", "D": "125 cm²"}, "correct_answer": "C"},
    {"id": 15, "difficulty": "easy", "question": "What is area of 9 m × 5 m rectangle?", "options": {"A": "14 m²", "B": "28 m²", "C": "45 m²", "D": "90 m²"}, "correct_answer": "C"},
    {"id": 16, "difficulty": "easy", "question": "Rectangle: 16 cm long, 3 cm wide. Area = ?", "options": {"A": "19 cm²", "B": "32 cm²", "C": "48 cm²", "D": "64 cm²"}, "correct_answer": "C"},
    {"id": 17, "difficulty": "easy", "question": "If length = 30 m, width = 2 m, area = ?", "options": {"A": "32 m²", "B": "60 m²", "C": "90 m²", "D": "120 m²"}, "correct_answer": "B"},
    {"id": 18, "difficulty": "easy", "question": "Area of 12 cm × 8 cm rectangle is:", "options": {"A": "20 cm²", "B": "40 cm²", "C": "96 cm²", "D": "120 cm²"}, "correct_answer": "C"},
    {"id": 19, "difficulty": "easy", "question": "What is area if dimensions are 18 m × 4 m?", "options": {"A": "22 m²", "B": "36 m²", "C": "72 m²", "D": "144 m²"}, "correct_answer": "C"},
    {"id": 20, "difficulty": "easy", "question": "Rectangle measures 7 cm by 6 cm. Area = ?", "options": {"A": "13 cm²", "B": "26 cm²", "C": "42 cm²", "D": "49 cm²"}, "correct_answer": "C"},
    {"id": 21, "difficulty": "medium", "question": "A rectangle has area 24 cm² and length 6 cm. What is its width?", "options": {"A": "2 cm", "B": "3 cm", "C": "4 cm", "D": "5 cm"}, "correct_answer": "C"},
    {"id": 22, "difficulty": "medium", "question": "If area = 48 m² and width = 6 m, what is length?", "options": {"A": "6 m", "B": "7 m", "C": "8 m", "D": "9 m"}, "correct_answer": "C"},
    {"id": 23, "difficulty": "medium", "question": "Rectangle area = 63 cm², length = 9 cm. Find width.", "options": {"A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm"}, "correct_answer": "B"},
    {"id": 24, "difficulty": "medium", "question": "Area = 56 m², width = 7 m. What is length?", "options": {"A": "6 m", "B": "7 m", "C": "8 m", "D": "9 m"}, "correct_answer": "C"},
    {"id": 25, "difficulty": "medium", "question": "If area = 72 cm² and length = 12 cm, width = ?", "options": {"A": "4 cm", "B": "5 cm", "C": "6 cm", "D": "7 cm"}, "correct_answer": "C"},
    {"id": 26, "difficulty": "medium", "question": "Rectangle area = 84 m², width = 7 m. Length = ?", "options": {"A": "10 m", "B": "11 m", "C": "12 m", "D": "13 m"}, "correct_answer": "C"},
    {"id": 27, "difficulty": "medium", "question": "Area = 96 cm², length = 16 cm. Width = ?", "options": {"A": "4 cm", "B": "5 cm", "C": "6 cm", "D": "7 cm"}, "correct_answer": "C"},
    {"id": 28, "difficulty": "medium", "question": "If area = 108 m² and width = 9 m, length = ?", "options": {"A": "10 m", "B": "11 m", "C": "12 m", "D": "13 m"}, "correct_answer": "C"},
    {"id": 29, "difficulty": "medium", "question": "Rectangle area = 120 cm², length = 15 cm. Width = ?", "options": {"A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm"}, "correct_answer": "C"},
    {"id": 30, "difficulty": "medium", "question": "Area = 132 m², width = 11 m. Length = ?", "options": {"A": "10 m", "B": "11 m", "C": "12 m", "D": "13 m"}, "correct_answer": "C"},
    {"id": 31, "difficulty": "medium", "question": "If area = 144 cm² and length = 18 cm, width = ?", "options": {"A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm"}, "correct_answer": "C"},
    {"id": 32, "difficulty": "medium", "question": "Rectangle area = 156 m², width = 12 m. Length = ?", "options": {"A": "11 m", "B": "12 m", "C": "13 m", "D": "14 m"}, "correct_answer": "C"},
    {"id": 33, "difficulty": "medium", "question": "Area = 168 cm², length = 21 cm. Width = ?", "options": {"A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm"}, "correct_answer": "C"},
    {"id": 34, "difficulty": "medium", "question": "If area = 180 m² and width = 15 m, length = ?", "options": {"A": "10 m", "B": "11 m", "C": "12 m", "D": "13 m"}, "correct_answer": "C"},
    {"id": 35, "difficulty": "medium", "question": "Rectangle area = 192 cm², length = 24 cm. Width = ?", "options": {"A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm"}, "correct_answer": "C"},
    {"id": 36, "difficulty": "medium", "question": "Area = 204 m², width = 17 m. Length = ?", "options": {"A": "10 m", "B": "11 m", "C": "12 m", "D": "13 m"}, "correct_answer": "C"},
    {"id": 37, "difficulty": "medium", "question": "If area = 216 cm² and length = 27 cm, width = ?", "options": {"A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm"}, "correct_answer": "C"},
    {"id": 38, "difficulty": "medium", "question": "Rectangle area = 228 m², width = 19 m. Length = ?", "options": {"A": "10 m", "B": "11 m", "C": "12 m", "D": "13 m"}, "correct_answer": "C"},
    {"id": 39, "difficulty": "medium", "question": "Area = 240 cm², length = 30 cm. Width = ?", "options": {"A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm"}, "correct_answer": "C"},
    {"id": 40, "difficulty": "medium", "question": "If area = 252 m² and width = 21 m, length = ?", "options": {"A": "10 m", "B": "11 m", "C": "12 m", "D": "13 m"}, "correct_answer": "C"},
    {"id": 41, "difficulty": "medium", "question": "What is area of rectangle with length 12.5 cm and width 4 cm?", "options": {"A": "16.5 cm²", "B": "48 cm²", "C": "50 cm²", "D": "52 cm²"}, "correct_answer": "C"},
    {"id": 42, "difficulty": "medium", "question": "Area of rectangle: length = 8.4 m, width = 5 m", "options": {"A": "13.4 m²", "B": "40 m²", "C": "42 m²", "D": "44 m²"}, "correct_answer": "C"},
    {"id": 43, "difficulty": "medium", "question": "If length = 15.6 cm, width = 3 cm, area = ?", "options": {"A": "18.6 cm²", "B": "45.8 cm²", "C": "46.8 cm²", "D": "48.6 cm²"}, "correct_answer": "C"},
    {"id": 44, "difficulty": "medium", "question": "Rectangle: 9.8 m long, 4 m wide. Area = ?", "options": {"A": "13.8 m²", "B": "38.2 m²", "C": "39.2 m²", "D": "40.2 m²"}, "correct_answer": "C"},
    {"id": 45, "difficulty": "medium", "question": "Area if length = 22.5 cm, width = 2 cm?", "options": {"A": "24.5 cm²", "B": "44 cm²", "C": "45 cm²", "D": "46 cm²"}, "correct_answer": "C"},
    {"id": 46, "difficulty": "medium", "question": "What is area of 7.5 m × 6 m rectangle?", "options": {"A": "13.5 m²", "B": "42 m²", "C": "45 m²", "D": "48 m²"}, "correct_answer": "C"},
    {"id": 47, "difficulty": "medium", "question": "Rectangle: 14.2 cm long, 5 cm wide. Area = ?", "options": {"A": "19.2 cm²", "B": "68 cm²", "C": "70 cm²", "D": "71 cm²"}, "correct_answer": "D"},
    {"id": 48, "difficulty": "medium", "question": "If length = 18.4 m, width = 3 m, area = ?", "options": {"A": "21.4 m²", "B": "54.2 m²", "C": "55.2 m²", "D": "56.2 m²"}, "correct_answer": "C"},
    {"id": 49, "difficulty": "medium", "question": "Area of rectangle with dimensions 25.6 cm × 2 cm?", "options": {"A": "27.6 cm²", "B": "50.2 cm²", "C": "51.2 cm²", "D": "52.2 cm²"}, "correct_answer": "C"},
    {"id": 50, "difficulty": "medium", "question": "What is area if length = 11.3 m, width = 4 m?", "options": {"A": "15.3 m²", "B": "44.2 m²", "C": "45.2 m²", "D": "46.2 m²"}, "correct_answer": "C"},
    {"id": 51, "difficulty": "medium", "question": "Find width if area = 87.5 cm², length = 12.5 cm", "options": {"A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm"}, "correct_answer": "B"},
    {"id": 52, "difficulty": "medium", "question": "If area = 67.2 m², width = 8.4 m, length = ?", "options": {"A": "6 m", "B": "7 m", "C": "8 m", "D": "9 m"}, "correct_answer": "C"},
    {"id": 53, "difficulty": "medium", "question": "Rectangle area = 93.6 cm², length = 15.6 cm. Width?", "options": {"A": "5 cm", "B": "6 cm", "C": "7 cm", "D": "8 cm"}, "correct_answer": "B"},
    {"id": 54, "difficulty": "medium", "question": "Area = 78.4 m², width = 9.8 m. Length = ?", "options": {"A": "6 m", "B": "7 m", "C": "8 m", "D": "9 m"}, "correct_answer": "C"},
    {"id": 55, "difficulty": "medium", "question": "If area = 90 cm², length = 22.5 cm, width = ?", "options": {"A": "3 cm", "B": "4 cm", "C": "5 cm", "D": "6 cm"}, "correct_answer": "B"},
    {"id": 56, "difficulty": "medium", "question": "Rectangle area = 135 m², width = 7.5 m. Length?", "options": {"A": "16 m", "B": "17 m", "C": "18 m", "D": "19 m"}, "correct_answer": "C"},
    {"id": 57, "difficulty": "medium", "question": "Area = 142 cm², length = 14.2 cm. Width = ?", "options": {"A": "8 cm", "B": "9 cm", "C": "10 cm", "D": "11 cm"}, "correct_answer": "C"},
    {"id": 58, "difficulty": "medium", "question": "If area = 110.4 m², width = 18.4 m, length = ?", "options": {"A": "5 m", "B": "6 m", "C": "7 m", "D": "8 m"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "medium", "question": "Rectangle area = 102.4 cm², length = 25.6 cm. Width?", "options": {"A": "3 cm", "B": "4 cm", "C": "5 cm", "D": "6 cm"}, "correct_answer": "B"},
    {"id": 60, "difficulty": "medium", "question": "Area = 180.8 m², width = 11.3 m. Length = ?", "options": {"A": "14 m", "B": "15 m", "C": "16 m", "D": "17 m"}, "correct_answer": "C"},
    {"id": 61, "difficulty": "medium", "question": "What is area in cm² if length = 0.8 m, width = 50 cm?", "options": {"A": "40 cm²", "B": "400 cm²", "C": "4000 cm²", "D": "40000 cm²"}, "correct_answer": "C"},
    {"id": 62, "difficulty": "medium", "question": "Area if length = 2.5 m, width = 120 cm (in m²)?", "options": {"A": "3 m²", "B": "3.5 m²", "C": "4 m²", "D": "5 m²"}, "correct_answer": "A"},
    {"id": 63, "difficulty": "medium", "question": "Rectangle: 150 cm long, 0.4 m wide. Area in cm²?", "options": {"A": "60 cm²", "B": "600 cm²", "C": "6000 cm²", "D": "60000 cm²"}, "correct_answer": "C"},
    {"id": 64, "difficulty": "medium", "question": "If length = 3.2 m, width = 75 cm, area in m²?", "options": {"A": "2.4 m²", "B": "3.75 m²", "C": "4.8 m²", "D": "5.2 m²"}, "correct_answer": "A"},
    {"id": 65, "difficulty": "medium", "question": "Area in cm²: length = 0.6 m, width = 45 cm", "options": {"A": "27 cm²", "B": "270 cm²", "C": "2700 cm²", "D": "27000 cm²"}, "correct_answer": "C"},
    {"id": 66, "difficulty": "medium", "question": "What is area if length = 4.5 m, width = 80 cm (in m²)?", "options": {"A": "3.6 m²", "B": "4.5 m²", "C": "5.4 m²", "D": "6.3 m²"}, "correct_answer": "A"},
    {"id": 67, "difficulty": "medium", "question": "Rectangle: 250 cm long, 1.2 m wide. Area in m²?", "options": {"A": "3 m²", "B": "4 m²", "C": "5 m²", "D": "6 m²"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "medium", "question": "If length = 1.8 m, width = 90 cm, area in cm²?", "options": {"A": "162 cm²", "B": "1620 cm²", "C": "16200 cm²", "D": "162000 cm²"}, "correct_answer": "C"},
    {"id": 69, "difficulty": "medium", "question": "Area in m²: length = 320 cm, width = 2.5 m", "options": {"A": "8 m²", "B": "9 m²", "C": "10 m²", "D": "11 m²"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "medium", "question": "What is area if length = 2.2 m, width = 150 cm (in cm²)?", "options": {"A": "330 cm²", "B": "3300 cm²", "C": "33000 cm²", "D": "330000 cm²"}, "correct_answer": "C"},
    {"id": 71, "difficulty": "medium", "question": "Find length if area = 7.5 m², width = 250 cm", "options": {"A": "2 m", "B": "2.5 m", "C": "3 m", "D": "3.5 m"}, "correct_answer": "C"},
    {"id": 72, "difficulty": "medium", "question": "If area = 48000 cm², length = 3 m, width in cm?", "options": {"A": "120 cm", "B": "140 cm", "C": "160 cm", "D": "180 cm"}, "correct_answer": "C"},
    {"id": 73, "difficulty": "medium", "question": "Rectangle area = 6 m², width = 150 cm. Length in m?", "options": {"A": "3 m", "B": "4 m", "C": "5 m", "D": "6 m"}, "correct_answer": "B"},
    {"id": 74, "difficulty": "medium", "question": "Area = 54000 cm², length = 4.5 m. Width in cm?", "options": {"A": "100 cm", "B": "110 cm", "C": "120 cm", "D": "130 cm"}, "correct_answer": "C"},
    {"id": 75, "difficulty": "medium", "question": "If area = 8.4 m², width = 210 cm, length in m?", "options": {"A": "3 m", "B": "3.5 m", "C": "4 m", "D": "4.5 m"}, "correct_answer": "C"},
    {"id": 76, "difficulty": "medium", "question": "Rectangle area = 105000 cm², length = 3.5 m. Width?", "options": {"A": "250 cm", "B": "280 cm", "C": "300 cm", "D": "320 cm"}, "correct_answer": "C"},
    {"id": 77, "difficulty": "medium", "question": "Area = 9.6 m², width = 240 cm. Length in m?", "options": {"A": "3 m", "B": "3.5 m", "C": "4 m", "D": "4.5 m"}, "correct_answer": "C"},
    {"id": 78, "difficulty": "medium", "question": "If area = 126000 cm², length = 4.2 m, width in cm?", "options": {"A": "280 cm", "B": "290 cm", "C": "300 cm", "D": "310 cm"}, "correct_answer": "C"},
    {"id": 79, "difficulty": "medium", "question": "Rectangle area = 10.5 m², width = 2.5 m. Length?", "options": {"A": "3.8 m", "B": "4.2 m", "C": "4.5 m", "D": "4.8 m"}, "correct_answer": "B"},
    {"id": 80, "difficulty": "medium", "question": "Area = 144000 cm², length = 4.8 m. Width in m?", "options": {"A": "2.8 m", "B": "3 m", "C": "3.2 m", "D": "3.4 m"}, "correct_answer": "B"},
    {"id": 81, "difficulty": "hard", "question": "A rectangle's length is 3 times its width. If area is 108 cm², find dimensions.", "options": {"A": "6 cm × 18 cm", "B": "9 cm × 12 cm", "C": "8 cm × 24 cm", "D": "7 cm × 21 cm"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "Length is 5 cm more than width. Area = 84 cm². Find dimensions.", "options": {"A": "7 cm × 12 cm", "B": "8 cm × 13 cm", "C": "9 cm × 14 cm", "D": "10 cm × 15 cm"}, "correct_answer": "A"},
    {"id": 83, "difficulty": "hard", "question": "If length is doubled, area becomes 3 times original. Find width if original length was 12 cm.", "options": {"A": "4 cm", "B": "6 cm", "C": "8 cm", "D": "10 cm"}, "correct_answer": "B"},
    {"id": 84, "difficulty": "hard", "question": "Rectangle area = 96 cm². If length increased by 2 cm and width decreased by 2 cm, area becomes 80 cm². Find original dimensions.", "options": {"A": "8 cm × 12 cm", "B": "6 cm × 16 cm", "C": "10 cm × 9.6 cm", "D": "12 cm × 8 cm"}, "correct_answer": "D"},
    {"id": 85, "difficulty": "hard", "question": "A rectangle and square have same area 64 cm². Rectangle's length is 16 cm. Find difference in perimeters.", "options": {"A": "4 cm", "B": "8 cm", "C": "12 cm", "D": "16 cm"}, "correct_answer": "B"},
    {"id": 86, "difficulty": "hard", "question": "Length:width = 3:2. Area = 150 cm². Find dimensions.", "options": {"A": "10 cm × 15 cm", "B": "12 cm × 18 cm", "C": "15 cm × 10 cm", "D": "18 cm × 12 cm"}, "correct_answer": "C"},
    {"id": 87, "difficulty": "hard", "question": "If both dimensions doubled, area becomes how many times?", "options": {"A": "2 times", "B": "3 times", "C": "4 times", "D": "8 times"}, "correct_answer": "C"},
    {"id": 88, "difficulty": "hard", "question": "Area of rectangle is 120 cm². If length increased by 25% and width decreased by 20%, new area = ?", "options": {"A": "100 cm²", "B": "110 cm²", "C": "120 cm²", "D": "130 cm²"}, "correct_answer": "C"},
    {"id": 89, "difficulty": "hard", "question": "Rectangle's length is 50% more than width. Area = 216 cm². Find perimeter.", "options": {"A": "48 cm", "B": "54 cm", "C": "60 cm", "D": "66 cm"}, "correct_answer": "C"},
    {"id": 90, "difficulty": "hard", "question": "Two rectangles have same area 72 cm². First: 8 cm × 9 cm. Second has length 12 cm. Find width of second.", "options": {"A": "5 cm", "B": "6 cm", "C": "7 cm", "D": "8 cm"}, "correct_answer": "B"},
    {"id": 91, "difficulty": "hard", "question": "If length decreased by 20% and width increased by 25%, area changes by?", "options": {"A": "No change", "B": "5% increase", "C": "5% decrease", "D": "10% increase"}, "correct_answer": "A"},
    {"id": 92, "difficulty": "hard", "question": "Rectangle area = 144 cm². If dimensions are integers, how many different rectangles possible?", "options": {"A": "6", "B": "8", "C": "10", "D": "12"}, "correct_answer": "C"},
    {"id": 93, "difficulty": "hard", "question": "Length increased by 10 cm, width decreased by 4 cm. Area unchanged. Original length = 20 cm. Find original area.", "options": {"A": "120 cm²", "B": "150 cm²", "C": "180 cm²", "D": "200 cm²"}, "correct_answer": "D"},
    {"id": 94, "difficulty": "hard", "question": "A rectangle of area 48 cm² is divided into 3 equal rectangles along length. Area of each small rectangle?", "options": {"A": "12 cm²", "B": "16 cm²", "C": "20 cm²", "D": "24 cm²"}, "correct_answer": "B"},
    {"id": 95, "difficulty": "hard", "question": "Rectangle dimensions in ratio 5:4. If each dimension increased by 2 cm, area increases by 76 cm². Find original area.", "options": {"A": "80 cm²", "B": "100 cm²", "C": "120 cm²", "D": "140 cm²"}, "correct_answer": "A"},
    {"id": 96, "difficulty": "hard", "question": "From a 15 cm × 10 cm rectangle, 3 cm border removed from all sides. Area of remaining rectangle?", "options": {"A": "54 cm²", "B": "72 cm²", "C": "84 cm²", "D": "96 cm²"}, "correct_answer": "C"},
    {"id": 97, "difficulty": "hard", "question": "Area = 180 cm². If length decreased by 3 cm and width increased by 2 cm, area becomes 176 cm². Find original dimensions.", "options": {"A": "10 cm × 18 cm", "B": "12 cm × 15 cm", "C": "9 cm × 20 cm", "D": "15 cm × 12 cm"}, "correct_answer": "B"},
    {"id": 98, "difficulty": "hard", "question": "Rectangle's length is twice square's side. Width equals square's side. If square area = 36 cm², rectangle area = ?", "options": {"A": "72 cm²", "B": "108 cm²", "C": "144 cm²", "D": "180 cm²"}, "correct_answer": "A"},
    {"id": 99, "difficulty": "hard", "question": "A path 2 m wide runs inside a 20 m × 15 m rectangle. Area of path?", "options": {"A": "104 m²", "B": "124 m²", "C": "144 m²", "D": "164 m²"}, "correct_answer": "B"},
    {"id": 100, "difficulty": "hard", "question": "Two rectangles: First 12 cm × 8 cm, Second has same perimeter but area 35 cm² more. Find dimensions of second.", "options": {"A": "14 cm × 6 cm", "B": "15 cm × 5 cm", "C": "16 cm × 4 cm", "D": "17 cm × 3 cm"}, "correct_answer": "A"}
  ,
{"id":101,"difficulty":"hard","question":"A rectangle has area 150 cm² and length 15 cm. What is its width?","options":{"A":"8 cm","B":"9 cm","C":"10 cm","D":"12 cm"},"correct_answer":"C"},
  {"id":102,"difficulty":"hard","question":"If the length of a rectangle is 4 times its width and area is 256 cm², find the width.","options":{"A":"4 cm","B":"6 cm","C":"8 cm","D":"16 cm"},"correct_answer":"C"},
  {"id":103,"difficulty":"hard","question":"The area of a rectangle is 180 cm². If its width is 12 cm, what is its length?","options":{"A":"10 cm","B":"12 cm","C":"15 cm","D":"18 cm"},"correct_answer":"C"},
  {"id":104,"difficulty":"hard","question":"A rectangle has length 20 cm and area 300 cm². Find its width.","options":{"A":"10 cm","B":"12 cm","C":"15 cm","D":"18 cm"},"correct_answer":"A"},
  {"id":105,"difficulty":"hard","question":"The area of a rectangle is 96 m² and its length is twice its width. What is the width?","options":{"A":"4 m","B":"6 m","C":"8 m","D":"12 m"},"correct_answer":"C"},
  {"id":106,"difficulty":"hard","question":"If the width of a rectangle is 7 cm and area is 140 cm², find the length.","options":{"A":"18 cm","B":"20 cm","C":"22 cm","D":"24 cm"},"correct_answer":"B"},
  {"id":107,"difficulty":"hard","question":"A rectangle’s area is 225 cm². If length = 15 cm, what is width?","options":{"A":"10 cm","B":"12 cm","C":"14 cm","D":"15 cm"},"correct_answer":"A"},
  {"id":108,"difficulty":"hard","question":"The length and width of a rectangle are in the ratio 5:3. If area is 375 cm², find the width.","options":{"A":"9 cm","B":"12 cm","C":"15 cm","D":"18 cm"},"correct_answer":"B"},
  {"id":109,"difficulty":"hard","question":"Area of a rectangle is 288 m² and width is 12 m. What is its length?","options":{"A":"20 m","B":"22 m","C":"24 m","D":"26 m"},"correct_answer":"C"},
  {"id":110,"difficulty":"hard","question":"If the length of a rectangle is reduced to half and width remains same, the area becomes 40 m². What was the original area?","options":{"A":"40 m²","B":"60 m²","C":"80 m²","D":"100 m²"},"correct_answer":"C"},

  {"id":111,"difficulty":"hard","question":"A rectangle has area 420 cm² and width 14 cm. Find its length.","options":{"A":"20 cm","B":"25 cm","C":"30 cm","D":"35 cm"},"correct_answer":"C"},
  {"id":112,"difficulty":"hard","question":"If the area of a rectangle is 360 cm² and length is 24 cm, what is its width?","options":{"A":"12 cm","B":"15 cm","C":"18 cm","D":"20 cm"},"correct_answer":"B"},
  {"id":113,"difficulty":"hard","question":"The length of a rectangle is 3 times its width. If area is 432 cm², find the width.","options":{"A":"8 cm","B":"10 cm","C":"12 cm","D":"14 cm"},"correct_answer":"C"},
  {"id":114,"difficulty":"hard","question":"Area of rectangle = 560 m². If width = 20 m, find length.","options":{"A":"24 m","B":"26 m","C":"28 m","D":"30 m"},"correct_answer":"C"},
  {"id":115,"difficulty":"hard","question":"If a rectangle has length 18 cm and area 270 cm², find its width.","options":{"A":"12 cm","B":"14 cm","C":"15 cm","D":"18 cm"},"correct_answer":"C"},
  {"id":116,"difficulty":"hard","question":"A rectangle has area 640 cm². If width is 16 cm, what is the length?","options":{"A":"32 cm","B":"36 cm","C":"40 cm","D":"44 cm"},"correct_answer":"C"},
  {"id":117,"difficulty":"hard","question":"The area of a rectangle is 504 cm² and length is 21 cm. What is its width?","options":{"A":"18 cm","B":"20 cm","C":"22 cm","D":"24 cm"},"correct_answer":"A"},
  {"id":118,"difficulty":"hard","question":"If width of a rectangle is 9 m and area is 189 m², find the length.","options":{"A":"18 m","B":"19 m","C":"21 m","D":"23 m"},"correct_answer":"C"},
  {"id":119,"difficulty":"hard","question":"A rectangle’s length is 28 cm and area is 448 cm². Find its width.","options":{"A":"14 cm","B":"15 cm","C":"16 cm","D":"18 cm"},"correct_answer":"A"},
  {"id":120,"difficulty":"hard","question":"If the area of a rectangle is 525 cm² and width is 15 cm, find the length.","options":{"A":"30 cm","B":"32 cm","C":"34 cm","D":"35 cm"},"correct_answer":"D"},

  {"id":121,"difficulty":"hard","question":"A rectangle has area 600 cm². If its length is 25 cm, what is its width?","options":{"A":"20 cm","B":"22 cm","C":"24 cm","D":"26 cm"},"correct_answer":"C"},
  {"id":122,"difficulty":"hard","question":"The length of a rectangle is 16 m and its area is 512 m². Find the width.","options":{"A":"24 m","B":"28 m","C":"30 m","D":"32 m"},"correct_answer":"D"},
  {"id":123,"difficulty":"hard","question":"Area of rectangle = 945 cm² and width = 21 cm. Find length.","options":{"A":"40 cm","B":"42 cm","C":"45 cm","D":"48 cm"},"correct_answer":"B"},
  {"id":124,"difficulty":"hard","question":"If length of a rectangle is 35 cm and area is 840 cm², find width.","options":{"A":"20 cm","B":"22 cm","C":"24 cm","D":"28 cm"},"correct_answer":"A"},
  {"id":125,"difficulty":"hard","question":"A rectangle has area 720 m² and width 24 m. Find its length.","options":{"A":"25 m","B":"28 m","C":"30 m","D":"32 m"},"correct_answer":"C"},
  {"id":126,"difficulty":"hard","question":"If area of a rectangle is 882 cm² and length is 42 cm, what is width?","options":{"A":"18 cm","B":"20 cm","C":"21 cm","D":"24 cm"},"correct_answer":"C"},
  {"id":127,"difficulty":"hard","question":"A rectangle has area 1000 cm² and width 25 cm. Find length.","options":{"A":"35 cm","B":"40 cm","C":"45 cm","D":"50 cm"},"correct_answer":"B"},
  {"id":128,"difficulty":"hard","question":"If width of a rectangle is 14 m and area is 350 m², find length.","options":{"A":"20 m","B":"22 m","C":"24 m","D":"25 m"},"correct_answer":"D"},
  {"id":129,"difficulty":"hard","question":"Area of rectangle = 1210 cm² and length = 55 cm. Find width.","options":{"A":"20 cm","B":"21 cm","C":"22 cm","D":"25 cm"},"correct_answer":"C"},
  {"id":130,"difficulty":"hard","question":"If the area of a rectangle is 1320 cm² and width is 30 cm, what is the length?","options":{"A":"40 cm","B":"42 cm","C":"44 cm","D":"46 cm"},"correct_answer":"B"},

  {"id":131,"difficulty":"hard","question":"A rectangle has area 1568 cm² and length 56 cm. Find width.","options":{"A":"24 cm","B":"26 cm","C":"28 cm","D":"32 cm"},"correct_answer":"C"},
  {"id":132,"difficulty":"hard","question":"If width of rectangle is 18 m and area is 810 m², find length.","options":{"A":"40 m","B":"42 m","C":"45 m","D":"48 m"},"correct_answer":"C"},
  {"id":133,"difficulty":"hard","question":"Area of rectangle = 1764 cm² and width = 42 cm. Find length.","options":{"A":"40 cm","B":"42 cm","C":"44 cm","D":"48 cm"},"correct_answer":"A"},
  {"id":134,"difficulty":"hard","question":"If length of rectangle is 60 cm and area is 1800 cm², find width.","options":{"A":"25 cm","B":"28 cm","C":"30 cm","D":"35 cm"},"correct_answer":"C"},
  {"id":135,"difficulty":"hard","question":"A rectangle has area 2025 cm² and width 45 cm. Find length.","options":{"A":"40 cm","B":"42 cm","C":"45 cm","D":"50 cm"},"correct_answer":"A"},
  {"id":136,"difficulty":"hard","question":"If area of rectangle is 2310 m² and width is 42 m, what is length?","options":{"A":"50 m","B":"52 m","C":"55 m","D":"60 m"},"correct_answer":"C"},
  {"id":137,"difficulty":"hard","question":"Area = 2600 cm², width = 50 cm. Find length.","options":{"A":"48 cm","B":"50 cm","C":"52 cm","D":"54 cm"},"correct_answer":"B"},
  {"id":138,"difficulty":"hard","question":"If a rectangle has area 2916 cm² and length 54 cm, find width.","options":{"A":"48 cm","B":"50 cm","C":"52 cm","D":"54 cm"},"correct_answer":"A"},
  {"id":139,"difficulty":"hard","question":"A rectangle has area 3136 cm² and width 56 cm. Find length.","options":{"A":"52 cm","B":"54 cm","C":"56 cm","D":"58 cm"},"correct_answer":"C"},
  {"id":140,"difficulty":"hard","question":"If the area of a rectangle is 3360 m² and width is 60 m, find length.","options":{"A":"50 m","B":"54 m","C":"56 m","D":"60 m"},"correct_answer":"A"},

  {"id":141,"difficulty":"hard","question":"Area of rectangle = 3600 cm² and length = 75 cm. Find width.","options":{"A":"40 cm","B":"45 cm","C":"48 cm","D":"50 cm"},"correct_answer":"D"},
  {"id":142,"difficulty":"hard","question":"If width of a rectangle is 64 cm and area is 4096 cm², find length.","options":{"A":"60 cm","B":"62 cm","C":"64 cm","D":"68 cm"},"correct_answer":"C"},
  {"id":143,"difficulty":"hard","question":"A rectangle has area 4480 m² and length 80 m. Find width.","options":{"A":"50 m","B":"54 m","C":"56 m","D":"60 m"},"correct_answer":"C"},
  {"id":144,"difficulty":"hard","question":"If length = 90 cm and area = 4050 cm², find width.","options":{"A":"40 cm","B":"42 cm","C":"45 cm","D":"50 cm"},"correct_answer":"C"},
  {"id":145,"difficulty":"hard","question":"Area of rectangle = 4900 cm² and width = 70 cm. Find length.","options":{"A":"65 cm","B":"68 cm","C":"70 cm","D":"75 cm"},"correct_answer":"C"},
  {"id":146,"difficulty":"hard","question":"If a rectangle has area 5184 cm² and length 72 cm, find width.","options":{"A":"68 cm","B":"70 cm","C":"72 cm","D":"74 cm"},"correct_answer":"C"},
  {"id":147,"difficulty":"hard","question":"Area = 5475 cm², width = 75 cm. Find length.","options":{"A":"70 cm","B":"72 cm","C":"73 cm","D":"75 cm"},"correct_answer":"D"},
  {"id":148,"difficulty":"hard","question":"If the area of a rectangle is 5760 m² and width is 80 m, find length.","options":{"A":"70 m","B":"72 m","C":"75 m","D":"80 m"},"correct_answer":"C"},
  {"id":149,"difficulty":"hard","question":"A rectangle has area 6084 cm² and length 78 cm. Find width.","options":{"A":"72 cm","B":"76 cm","C":"78 cm","D":"84 cm"},"correct_answer":"A"},
  {"id":150,"difficulty":"hard","question":"If area of rectangle is 6400 cm² and width is 80 cm, what is length?","options":{"A":"60 cm","B":"70 cm","C":"80 cm","D":"90 cm"},"correct_answer":"C"}
]
}