Question
If the length of a rectangle is increased by 70%, what
would be the percentage decrease (correct to the nearest integer) in the width to maintain the same area?Solution
Let the length and width of the rectangle =100 Area =100×100=10000. Length after 70% increase length =170 And let the x% decrease in width =(100-x) Area =(100-x) ×170. ATQ- (100-x) ×170 =10000 17x =700 X=41%(approx.) Required Answer=100-41 =59%
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