The length of a rectangle is increased by 10%, and its width is decreased by 10%. What is the net percentage change in the area of the rectangle?
-1%
The new area factor is 1.10 times 0.90, which equals 0.99, a 1% drop from the original area. Using the successive-change formula x + y + xy/100 with x=10 and y=-10 gives 10 - 10 - 1 = -1%, confirming a 1% decrease.
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