Problem:
A circle of radius 5 is inscribed in a rectangle as shown. The ratio of the length of the rectangle to its width is . What is the area of the rectangle?
Answer Choices:
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B.
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E.
Solution:
The width of the rectangle is the diameter of the circle, so the width is . The length of the rectangle is . Therefore the area of the rectangle is .
The problems on this page are the property of the MAA's American Mathematics Competitions