2012 AMC 12B Problems/Problem 2

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?

$\textbf{(A)}\ 50\qquad\textbf{(B)}\ 100\qquad\textbf{(C)}\ 125\qquad\textbf{(D)}\ 150\qquad\textbf{(E)}\ 200$

Solution

If the radius is $5$ , then the width is $10$ , hence the length is $20$ . $10\times20=200$ , $\boxed{\text{E}}$

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2012 AMC 12B Problems/Problem 2

Problem

Solution