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If the length of a rectangle increases by 20%, and the width decrease by 20%, by what percent does the area change?

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A 20% increase has a multiplier of 1.2

A 20% decrease has a multiplier of 0.8

(1.2L)x(0.8W) = (1.2x0.8)LW = (0.96)LW

The factor 0.96 is the multiplier for a 4% decrease, so the area decreased by 4%.

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