Question
If the length of a rectangle is extended by 25% and its
width is reduced by 20%, what is the percentage difference in the rectangle's area as a result of these changes?Solution
Let length and breadth of the rectangle be 'x' and 'y' cm, respectively. Area of rectangle = xy cm2 Increased length = 1.25x cm Decreased breadth = 0.8y cm New area of rectangle = 1.25x X 0.8y = xy cm2 Percentage change in area = [(xy - xy) /xy] X 100 = 0% Hence, option e.
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