Problem:
A square is drawn inside a rectangle. The ratio of the width of the rectangle to a side of the square is . The ratio of the rectangle's length to its width is . What percent of the rectangle's area is inside the square?
Answer Choices:
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Solution:
Let be the side length of the square. Then the area of the square is . The rectangle has sides of length and , and hence area . The fraction of the rectangle's area inside the square is or .
The problems on this page are the property of the MAA's American Mathematics Competitions