2012 AMC 12B Problems/Problem 2

Revision as of 16:02, 24 February 2012 by Mrdavid445 (talk | contribs) (Solution)

Problem

A circle of radius 5 is inscribed in a rectangle as shown. The ratio of the length of the rectangle to it's width is 2:1. What is the area of the rectangle


Solution

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