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    Question

    The ratio of length to breadth of a rectangle is 8:5.

    When the length and breadth of the rectangle is increased by 25% and decreased by 30% respectively, then its perimeter becomes 540 cm. Find the original area (in cm2) of the rectangle.
    A 10000 Correct Answer Incorrect Answer
    B 13000 Correct Answer Incorrect Answer
    C 16000 Correct Answer Incorrect Answer
    D 16600 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the original length and breadth of the rectangle be 8x cm and 5x cm, respectively According to the question, 2 × {(1.25 × 8x) + (0.7 × 5x)} = 540 Or, 10x + 3.5x = 540 Or, x = 540/13.5 = 20 Therefore, original area of the rectangle = 8x × 5x = 40x2 = 16000 cm2

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