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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 20% and decreased by 50% respectively, then its perimeter becomes 363 cm. Find the original area (in cm2) of the rectangle.
    A 9000 Correct Answer Incorrect Answer
    B 9500 Correct Answer Incorrect Answer
    C 9600 Correct Answer Incorrect Answer
    D 9700 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 × {(1.2 × 8x) + (0.5 × 5x)} = 363 Or, 9.6x + 2.5x = 363 Or, x = 363/12.1 = 15 Therefore, original area of the rectangle = 8x × 5x = 40x2 = 9000 cm2

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