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The length of a rectangle is increased by 25% .By what percentage should the width be decreased so that the area of the rectangle remains unchanged?

The length of a rectangle is increased by 25% .By what percentage should the width be decreased so that the area of the rectangle remains unchanged? Correct Answer 20%

Let, Length 100 Width 100 So, area = 100×100 = 10,000Increased length  = 100×125100 = 125Let, New width  =  x ATQ,125×x  = 10,000⇒x = 10000125 = 80So, percentage decreased  = 100 - 80100×100 = 20%

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