2009 UNCO Math Contest II Problems/Problem 8
Revision as of 20:14, 19 October 2014 by Timneh (talk | contribs) (moved 2009 UNC Math Contest II Problems/Problem 8 to 2009 UNCO Math Contest II Problems/Problem 8: disambiguation of University of Northern Colorado with University of North Carolina)
Problem
Two diagonals are drawn in the trapezoid
forming four triangles. The areas of two of the
triangles are 
and 
as shown. What is the total
area of the trapezoid?
![[asy] draw((0,0)--(20,0)--(2,4)--(14,4)--(0,0),black); draw((0,0)--(2,4)--(14,4)--(20,0),black); MP("25",(9,.25),N);MP("9",(9,2.25),N); [/asy]](http://latex.artofproblemsolving.com/4/0/2/402684b2f1013e5842db62e6b3d685aa5698aec9.png)
