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    Question

    The length of a rectangle is extended by 26%, while its

    width is reduced by 26%. What is the percentage change in the area of the rectangle as a result of these adjustments?
    A 6.12% increase Correct Answer Incorrect Answer
    B 6.76% increase Correct Answer Incorrect Answer
    C 4.76% decrease Correct Answer Incorrect Answer
    D 4.76% increase Correct Answer Incorrect Answer
    E 6.76% decrease Correct Answer Incorrect Answer

    Solution

    Let length and breadth of rectangle initially be x cm and y cm respectively. Area of rectangle = xy cm2 Length after increase = 1.26x cm Breadth after decrease = 0.74y cm Area of rectangle now = 1.26x × 0.74y = 0.9324xy cm2 Decrease in area = xy – 0.9324xy = 0.0676xy cm2 Percentage decrease = 0.0676xy/xy × 100 = 6.76% Hence, option e.

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