Difference between revisions of "2004 AIME II Problems/Problem 7"

 
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== Solution ==
 
== Solution ==
 
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{{solution}}
 
== See also ==
 
== See also ==
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* [[2004 AIME II Problems/Problem 6 | Previous problem]]
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* [[2004 AIME II Problems/Problem 8 | Next problem]]
 
* [[2004 AIME II Problems]]
 
* [[2004 AIME II Problems]]

Revision as of 00:56, 11 November 2006

Problem

$ABCD$ is a rectangular sheet of paper that has been folded so that corner $B$ is matched with point $B'$ on edge $AD.$ The crease is $EF,$ where $E$ is on $AB$ and $F$ is on $CD.$ The dimensions $AE=8, BE=17,$ and $CF=3$ are given. The perimeter of rectangle $ABCD$ is $m/n,$ where $m$ and $n$ are relatively prime positive integers. Find $m+n.$

Solution

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See also