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imc

geometry junior

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 2:1. What is the area of the rectangle?
problem
(A)
(B)
(C)
(D)
(E)
Solution
Note that the diameter of the circle is equal to the shorter side of the rectangle. Since the radius is , the diameter is . Since the sides of the rectangle are in a ratio, the longer side has length . Therefore the area is or
Final answer
E