Mock AIME 1 2006-2007 Problems/Problem 7
Problem
Lethave
and
. Point
is such that
and
. Construct point
on segment
such that
.
and
are extended to meet at
. If
where
and
are positive integers, find
(note:
denotes the area of
have 
and 
. Point 
is such that 
and 
. Construct point 
on segment 
such that 
. 
and 
are extended to meet at 
. If ![$\frac{[AEF]}{[CFD]}=\frac{m}{n}$](http://latex.artofproblemsolving.com/9/6/7/967e8532336ea24875d631d18e1377f01ec2541b.png)
where 
and 
are positive integers, find 
(note: ![$[ABC]$](http://latex.artofproblemsolving.com/d/3/3/d33cc80fa8f093e155c5be46d2e5d9da3d7e1ef5.png)
denotes the area of Solution
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