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    Question

    The area of a square is 361 cm². Find the ratio of its area to that of a rectangle whose breadth is 20% more and length 50% more than the side of the square.

    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 = 361 cm², Side of square = 19 cm  Area of rectangle = (l x b)  Length = (19 x 1.5 = 28.5) cm  Breadth = (19 x 1.2 = 22.) cm  Area of rectangle = (28.5 x 22.8 = 649.8) cm²  Required ratio = 361/649.8 = 5/9 = 5:9

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