2004 AIME I Problems/Problem 9
Problem
Let 
be a triangle with sides 3, 4, and 5, and 
be a 6-by-7 rectangle. A segment is drawn to divide triangle into a triangle 
and a trapezoid 
and another segment is drawn to divide rectangle into a triangle 
and a trapezoid 
such that is similar to and is similar to 
The minimum value of the area of can be written in the form 
where 
and 
are relatively prime positive integers. Find 
