Difference between revisions of "2002 AIME I Problems/Problem 2"

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== See also ==
 
== See also ==
* [[2002 AIME I Problems/Problem 1| Previous problem]]
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{{AIME box|year=2002|n=I|num-b=1|num-a=3}}
 
 
* [[2002 AIME I Problems/Problem 3| Next problem]]
 
 
 
* [[2002 AIME I Problems]]
 

Revision as of 14:11, 25 November 2007

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 $p+q$.

AIME 2002I Problem 02.png

Solution

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See also

2002 AIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
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