Difference between revisions of "2002 AIME II Problems/Problem 2"
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== Problem == | == 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 <math>\frac{1}{2}\left(\sqrt{p}-q\right),</math> where <math>p</math> and <math>q</math> are positive integers. Find <math>p+q.</math> | ||
| + | {{image}} (the image needed is image 6601 in the Album.) | ||
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
Revision as of 09:42, 12 March 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 
where 
and 
are positive integers. Find 
An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.
(the image needed is image 6601 in the Album.)
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
