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    Question

    The length of a rectangle is increased by 20% and the

    width is decreased by 10%. What is the percentage change in the area of the rectangle?
    A 8% increase Correct Answer Incorrect Answer
    B 12% decrease Correct Answer Incorrect Answer
    C 4% decrease Correct Answer Incorrect Answer
    D 10% decrease Correct Answer Incorrect Answer

    Solution

    Let length = 100 and width = 100. New length = 120, new width = 90. Original area = 100 × 100 = 10000. New area = 120 × 90 = 10800. Percentage change = [(10800 - 10000) / 10000] × 100 = 8% increase. Answer: a) 8% increase.

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