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

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== Solution ==
 
== Solution ==
 
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== See also ==
 
== See also ==
* [[2004 AIME II Problems/Problem 6 | Previous problem]]
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{{AIME box|year=2004|n=II|num-b=6|num-a=8}}
* [[2004 AIME II Problems/Problem 8 | Next problem]]
 
* [[2004 AIME II Problems]]
 

Revision as of 12:28, 19 April 2008

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

2004 AIME II (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions