{
  "title": "Perimeter and Area of Rectangles - Grade 6 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "What is the perimeter of a square with side 5 cm? 🔲",
      "options": { "A": "10 cm", "B": "15 cm", "C": "20 cm", "D": "25 cm" },
      "correct_answer": "C"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "What is the area of a rectangle with length 6 cm and width 2 cm? 📏",
      "options": { "A": "8 cm²", "B": "12 cm²", "C": "16 cm²", "D": "20 cm²" },
      "correct_answer": "B"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "Perimeter of rectangle = 2 × (____ + width). 🔍",
      "options": { "A": "length", "B": "height", "C": "breadth", "D": "side" },
      "correct_answer": "A"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "Area of rectangle = ____ × width. 🔍",
      "options": {
        "A": "length",
        "B": "perimeter",
        "C": "diagonal",
        "D": "height"
      },
      "correct_answer": "A"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "What is the area of a square of side 3 cm? 🟨",
      "options": { "A": "6 cm²", "B": "9 cm²", "C": "12 cm²", "D": "15 cm²" },
      "correct_answer": "B"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "If a rectangle's length is 8 m and width is 5 m, its perimeter is? 🏁",
      "options": { "A": "13 m", "B": "26 m", "C": "40 m", "D": "80 m" },
      "correct_answer": "B"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "Which unit is used for area? 📐",
      "options": { "A": "cm", "B": "cm²", "C": "cm³", "D": "m" },
      "correct_answer": "B"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "Perimeter is the ____ around a shape. 🔄",
      "options": {
        "A": "space inside",
        "B": "total length",
        "C": "width",
        "D": "height"
      },
      "correct_answer": "B"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "A rectangle has length 10 cm, width 4 cm. Its area is? 📊",
      "options": { "A": "14 cm²", "B": "28 cm²", "C": "40 cm²", "D": "80 cm²" },
      "correct_answer": "C"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "If you double the side of a square, its perimeter becomes ____ times. 🔄",
      "options": { "A": "2", "B": "4", "C": "6", "D": "8" },
      "correct_answer": "A"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "A square has perimeter 20 cm. What is its side? 🔍",
      "options": { "A": "4 cm", "B": "5 cm", "C": "6 cm", "D": "10 cm" },
      "correct_answer": "B"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "Area of a square = side × ____. 🔍",
      "options": { "A": "side", "B": "2", "C": "4", "D": "perimeter" },
      "correct_answer": "A"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "A rectangle's length and width are both 7 cm. It is a ____. 🔷",
      "options": {
        "A": "square",
        "B": "circle",
        "C": "triangle",
        "D": "cuboid"
      },
      "correct_answer": "A"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "A garden is 12 m long and 8 m wide. What is its perimeter? 🌳",
      "options": { "A": "20 m", "B": "40 m", "C": "96 m", "D": "80 m" },
      "correct_answer": "B"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "A tile is 30 cm × 20 cm. What is its area in m²? (100 cm = 1 m) 🧱",
      "options": { "A": "0.06 m²", "B": "0.6 m²", "C": "6 m²", "D": "60 m²" },
      "correct_answer": "A"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "A square's area is 49 cm². What is its perimeter? 🔲",
      "options": { "A": "14 cm", "B": "21 cm", "C": "28 cm", "D": "35 cm" },
      "correct_answer": "C"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "If you double both length and width of a rectangle, area becomes ____ times. 🔄",
      "options": { "A": "2", "B": "3", "C": "4", "D": "6" },
      "correct_answer": "C"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "Fencing a rectangular field requires knowing its ____. 🌾",
      "options": {
        "A": "area",
        "B": "perimeter",
        "C": "volume",
        "D": "weight"
      },
      "correct_answer": "B"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "A rectangle has area 24 m² and width 4 m. Find its length. 📏",
      "options": { "A": "6 m", "B": "8 m", "C": "10 m", "D": "12 m" },
      "correct_answer": "A"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "Which shape has a larger area: 6 cm × 4 cm rectangle or 5 cm square? ⚖️",
      "options": {
        "A": "Rectangle",
        "B": "Square",
        "C": "Same",
        "D": "Cannot tell"
      },
      "correct_answer": "A"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "A rectangle's perimeter is 30 cm. Its length is 10 cm. Find its width. 🔍",
      "options": { "A": "5 cm", "B": "6 cm", "C": "8 cm", "D": "10 cm" },
      "correct_answer": "A"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "A square and a rectangle have same perimeter 32 cm. Rectangle's length = 10 cm. Find its area. ⚖️",
      "options": {
        "A": "40 cm²",
        "B": "60 cm²",
        "C": "80 cm²",
        "D": "100 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "A rectangular park is 150 m long, 100 m wide. What distance do you cover walking around it once? 🚶",
      "options": { "A": "250 m", "B": "300 m", "C": "500 m", "D": "1000 m" },
      "correct_answer": "C"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "The area of a square is 81 m². What is the length of its diagonal? (approx) 🔶",
      "options": { "A": "9 m", "B": "12.7 m", "C": "13.5 m", "D": "18 m" },
      "correct_answer": "B"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "How many tiles 25 cm × 20 cm are needed to cover a floor 5 m × 4 m? 🧱",
      "options": { "A": "200", "B": "400", "C": "800", "D": "1000" },
      "correct_answer": "B"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "A rectangle's length is twice its width. If perimeter is 36 cm, find area. 📐",
      "options": {
        "A": "36 cm²",
        "B": "54 cm²",
        "C": "72 cm²",
        "D": "108 cm²"
      },
      "correct_answer": "C"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "A wire bent into a square of side 12 cm is straightened and bent into a rectangle of length 14 cm. Find its width. 🔧",
      "options": { "A": "10 cm", "B": "12 cm", "C": "14 cm", "D": "16 cm" },
      "correct_answer": "A"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "A rectangular sheet is 20 cm long, 15 cm wide. A square of side 5 cm is cut from it. Find remaining area. ✂️",
      "options": {
        "A": "250 cm²",
        "B": "275 cm²",
        "C": "300 cm²",
        "D": "325 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "The cost of fencing a rectangular field at ₹10/m is ₹2000. If its width is 40 m, find its length. 💰",
      "options": {
        "A": "20 m",
        "B": "40 m",
        "C": "50 m",
        "D": "60 m"
      },
      "correct_answer": "D"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "A rectangle's area is 48 cm². Which pair could be its length and width? 🔍",
      "options": {
        "A": "6 cm, 7 cm",
        "B": "8 cm, 6 cm",
        "C": "12 cm, 3 cm",
        "D": "16 cm, 2 cm"
      },
      "correct_answer": "B"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "A square's perimeter is 40 cm. A rectangle has same area but length 10 cm. Find rectangle's width. ⚖️",
      "options": {
        "A": "8 cm",
        "B": "10 cm",
        "C": "12 cm",
        "D": "15 cm"
      },
      "correct_answer": "B"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "If each side of a square is increased by 2 cm, its area increases by 20 cm². Find original side. 🔍",
      "options": { "A": "3 cm", "B": "4 cm", "C": "5 cm", "D": "6 cm" },
      "correct_answer": "B"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "A rectangular garden's length is 5 m more than its width. If perimeter is 50 m, find area. 🌷",
      "options": { "A": "100 m²", "B": "125 m²", "C": "150 m²", "D": "175 m²" },
      "correct_answer": "C"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "How many squares of side 5 cm can be cut from a rectangle 25 cm × 15 cm? ✂️",
      "options": { "A": "5", "B": "10", "C": "15", "D": "20" },
      "correct_answer": "C"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "A rectangle's diagonal is 10 cm, width is 6 cm. Find its perimeter. 📏",
      "options": { "A": "20 cm", "B": "24 cm", "C": "28 cm", "D": "32 cm" },
      "correct_answer": "C"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "The ratio of length to width of a rectangle is 3:2. If area is 150 cm², find perimeter. 🔄",
      "options": { "A": "30 cm", "B": "40 cm", "C": "50 cm", "D": "60 cm" },
      "correct_answer": "C"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "A path 2 m wide runs around a square garden of side 20 m. Find area of the path. 🛤️",
      "options": { "A": "84 m²", "B": "144 m²", "C": "176 m²", "D": "200 m²" },
      "correct_answer": "C"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "The perimeter of a rectangle is 28 cm. Its area is 40 cm². Find its dimensions. 📐",
      "options": {
        "A": "8 cm, 5 cm",
        "B": "10 cm, 4 cm",
        "C": "12 cm, 3 cm",
        "D": "14 cm, 2 cm"
      },
      "correct_answer": "B"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "A rectangular field's length is 3 times its width. If perimeter is 160 m, find its area. 🌾",
      "options": {
        "A": "800 m²",
        "B": "1200 m²",
        "C": "1500 m²",
        "D": "1800 m²"
      },
      "correct_answer": "B"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "A square of area 64 cm² and a rectangle of area 60 cm² have same perimeter. Find rectangle's length if width is 6 cm. ⚖️",
      "options": {
        "A": "8 cm",
        "B": "9 cm",
        "C": "10 cm",
        "D": "12 cm"
      },
      "correct_answer": "C"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "A rectangle's length is increased by 25%, width decreased by 20%. Find % change in area. 📈",
      "options": {
        "A": "0%",
        "B": "5% increase",
        "C": "5% decrease",
        "D": "10% decrease"
      },
      "correct_answer": "A"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "A rectangular lawn 30 m × 20 m has a path of uniform width around it. Total area including path is 816 m². Find path width. 🛤️",
      "options": {
        "A": "2 m",
        "B": "3 m",
        "C": "4 m",
        "D": "5 m"
      },
      "correct_answer": "A"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "The perimeter of a rectangle is 52 cm. If its length is 2 cm more than twice its width, find area. 🔍",
      "options": {
        "A": "120 cm²",
        "B": "144 cm²",
        "C": "168 cm²",
        "D": "192 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "A square and a rectangle have same area. Rectangle's length is 9 cm, perimeter is 26 cm. Find square's perimeter. ⚖️",
      "options": { "A": "20 cm", "B": "24 cm", "C": "28 cm", "D": "32 cm" },
      "correct_answer": "B"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "A rectangle is divided into two equal squares. If perimeter of rectangle is 36 cm, find area of one square. 🔲",
      "options": { "A": "16 cm²", "B": "25 cm²", "C": "36 cm²", "D": "49 cm²" },
      "correct_answer": "C"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "The cost of carpeting a room at ₹50/m² is ₹4000. If breadth is 8 m and carpet width is 2 m, find length of carpet needed. 🧶",
      "options": {
        "A": "20 m",
        "B": "25 m",
        "C": "40 m",
        "D": "50 m"
      },
      "correct_answer": "C"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "A rectangle's length is reduced by 10% and width increased by 10%. What is % change in area? 🔄",
      "options": {
        "A": "1% decrease",
        "B": "1% increase",
        "C": "10% decrease",
        "D": "No change"
      },
      "correct_answer": "A"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "The diagonal of a rectangle is 13 cm, one side is 5 cm. Find its perimeter. 📏",
      "options": { "A": "30 cm", "B": "34 cm", "C": "36 cm", "D": "38 cm" },
      "correct_answer": "B"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "A rectangular plot's length is twice its width. If length is increased by 5 m and width decreased by 4 m, area decreases by 50 m². Find original area. 🏡",
      "options": {
        "A": "200 m²",
        "B": "300 m²",
        "C": "400 m²",
        "D": "500 m²"
      },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "A square of side 8 cm has same perimeter as a rectangle of area 60 cm². Find rectangle's length if width is 6 cm. ⚖️",
      "options": { "A": "8 cm", "B": "9 cm", "C": "10 cm", "D": "12 cm" },
      "correct_answer": "C"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "If the length of a rectangle is increased by 2 cm and width by 1 cm, area increases by 26 cm². If length decreased by 1 cm and width by 2 cm, area decreases by 28 cm². Find original dimensions. 🧩",
      "options": {
        "A": "10 cm, 7 cm",
        "B": "12 cm, 6 cm",
        "C": "14 cm, 5 cm",
        "D": "16 cm, 4 cm"
      },
      "correct_answer": "B"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "A rectangle's area is 120 cm². Its sides are integers. How many different perimeters are possible? 🤔",
      "options": { "A": "4", "B": "6", "C": "8", "D": "10" },
      "correct_answer": "C"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "A wire in shape of rectangle 18 cm × 14 cm is reshaped into a square. Find area of square. 🔧",
      "options": {
        "A": "196 cm²",
        "B": "256 cm²",
        "C": "324 cm²",
        "D": "400 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "A rectangular paper 20 cm × 15 cm has strips 2 cm wide cut from all sides. Find area of remaining paper. ✂️",
      "options": {
        "A": "144 cm²",
        "B": "176 cm²",
        "C": "192 cm²",
        "D": "224 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "The perimeter of a rectangle is 40 cm. If its length is increased by 2 cm and width decreased by 2 cm, area remains same. Find original area. 🔄",
      "options": {
        "A": "90 cm²",
        "B": "96 cm²",
        "C": "99 cm²",
        "D": "110 cm²"
      },
      "correct_answer": "C"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "A rectangular floor is paved with square tiles of side 30 cm. If floor is 9 m long and 6 m wide, how many tiles are needed? 🧱",
      "options": { "A": "300", "B": "450", "C": "600", "D": "900" },
      "correct_answer": "C"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "A rectangle's length is 7 cm more than width. If its perimeter is 34 cm, find its diagonal length. 📏",
      "options": {
        "A": "13 cm",
        "B": "14 cm",
        "C": "15 cm",
        "D": "17 cm"
      },
      "correct_answer": "A"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "The sides of two squares are in ratio 3:5. Find ratio of their perimeters and areas. ⚖️",
      "options": {
        "A": "3:5 and 9:25",
        "B": "3:5 and 6:10",
        "C": "9:25 and 3:5",
        "D": "6:10 and 9:25"
      },
      "correct_answer": "A"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "A rectangle's area is 180 cm². If its length and width are increased by 2 cm each, area becomes 238 cm². Find original perimeter. 📐",
      "options": {
        "A": "42 cm",
        "B": "48 cm",
        "C": "54 cm",
        "D": "60 cm"
      },
      "correct_answer": "C"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "A square of side 'a' has same area as a rectangle of length '2a'. Find width of rectangle. 🔍",
      "options": { "A": "a/2", "B": "a", "C": "2a", "D": "4a" },
      "correct_answer": "A"
    }
  ]
}