Question

    If the area of a square is 144 cm² and the breadth of a rectangle is 20% more and the length is 50% more than the side of the square, then find the ratio of the area of the square to the area of the rectangle.

    A 5:9 Correct Answer Incorrect Answer
    B 3:4 Correct Answer Incorrect Answer
    C 4:7 Correct Answer Incorrect Answer
    D 7:8 Correct Answer Incorrect Answer
    E 2:5 Correct Answer Incorrect Answer

    Solution

     Area of square = 144 cm², Side of square = 12 cm  Area of rectangle = (l x b)  Length = (12 x 1.5 = 18) cm  Breadth = (12 x 1.2 = 14.4) cm  Area of rectangle = (18 x 14.4 = 259.2) cm²  Required ratio = 144/259.2 = 5/9 = 5:9

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