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jmc

prealgebra senior

Problem

The length of a rectangle is increased by , but the width of the rectangle is decreased to keep the area of the rectangle unchanged. By what percent was the rectangle's width decreased?
Solution
Let the original area be . Since the area of the rectangle is length multiplied by width, increasing the length of a rectangle by 25 percent increases the area to . We need to multiply this area by some number to decrease it back to . We have the equation . So the width needs to be decreased to times of the original in order to change the area back to the original area. Thus, the width needs to be adjusted percent.
Final answer
20