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?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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