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    Question

    Perimeter of a square is equal to the perimeter of a

    rectangle. The area of the square is 900 cm 2 and the length of the rectangle is four times its breadth. Find the area of the rectangle.
    A 432 cm.sq Correct Answer Incorrect Answer
    B 576 cm.sq Correct Answer Incorrect Answer
    C 196 cm.sq. Correct Answer Incorrect Answer
    D 288 cm.sq Correct Answer Incorrect Answer
    E 200 cm.sq Correct Answer Incorrect Answer

    Solution

    Area of square = 900 cm2 Side of square = √900 = 30 cm Perimeter of square = 4 × 30 = 120 cm Perimeter of rectangle = 120 cm Let breadth = b, then length = 4b 2(L + B) = 120 2(4b + b) = 120 2 × 5b = 120 10b = 120 b = 12 cm L = 4b = 4 × 12 = 48 cm Area of rectangle = L × B = 48 × 12 = 576 cm2 Answer: 576 cm2

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