Mock AIME 2 2006-2007 Problems/Problem 12
Problem
In quadrilateral 
and ![$\displaystyle \frac{[ADB]}{[ABC]}=\frac12.$](http://latex.artofproblemsolving.com/2/c/2/2c2b0b243cd26594cc1397038bbabb406799990a.png)
If 
, 
and the area of 
is 
where 
are relatively prime positive integers, find 
Note*: ![$\displaystyle[ABC]$](http://latex.artofproblemsolving.com/1/0/3/1031137193fcfa50ea50b4ac88c6d4d7682cd2a3.png)
and ![$\displaystyle[ADB]$](http://latex.artofproblemsolving.com/7/4/5/7451198dc56fc9969e2b0878d05580651aa8a31f.png)
refer to the areas of triangles 
and 
Problem Source
AoPS users 4everwise and Altheman collaborated to create this problem.
