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jmc

prealgebra senior

Problem

The length of the longer side of rectangle is percent more than the length of a side of square The length of the shorter side of rectangle is percent less than the length of a side of square What is the ratio of the area of rectangle to the area of square Express your answer as a common fraction.
Solution
Let equal the side length of square Then the area of is The longer side of rectangle will have length and the shorter side will have length Thus, the area of rectangle is: The ratio of the area of rectangle to the area of square will be:
Final answer
\frac{99}{100}