2002 AIME I Problems/Problem 2

Revision as of 15:25, 25 September 2007 by 1=2 (talk | contribs) (Problem)

This is an empty template page which needs to be filled. You can help us out by finding the needed content and editing it in. Thanks.

Problem

The diagram shows twenty congruent circles arranged in three rows and enclosed in a rectangle. The circles are tangent to one another and to the sides of the rectangle as shown in the diagram. The ratio of the longer dimension of the rectangle to the shorter dimension can be written as $\dfrac{1}{2}(\sqrt{p}-q)$ where $p$ and $q$ are positive integers. Find $p+q$.


An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.


Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also