¶ 2012 AMC 10B Problem 2
Problem:
A circle of radius 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:
A.
B.
C.
D.
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