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Printjmc
prealgebra intermediate
Problem
The lengths of two opposite sides of a square are decreased by while the lengths of the other two sides are increased by to form a rectangle. By what percent does the square's area decrease?
Solution
Let be the area of the square. The lengths of one pair of opposite sides was decreased by , so the area became . The other pair of sides were increased by , so the area became . Thus, the area decreased by percent.
Final answer
10