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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 40% and decreased by 25% respectively, then its perimeter becomes 598 cm. Find the original area (in cm2) of the rectangle.
    A 16000 Correct Answer Incorrect Answer
    B 15000 Correct Answer Incorrect Answer
    C 16500 Correct Answer Incorrect Answer
    D 16200 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 × {(1.4 × 8x) + (0.75 × 5x)} = 598 Or, 11.2x + 3.75x = 299 Or, x = 299/14.95 = 20 Therefore, original area of the rectangle = 8x × 5x = 40x2 = 16000 cm2

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