2006 UNCO Math Contest II Problems/Problem 5

Problem

In the figure $BD$ is parallel to $AE$ and also $BF$ is parallel to $DE$ . The area of the larger triangle $ACE$ is $128$ . The area of the trapezoid $BDEA$ is $78$ . Determine the area of triangle $ABF$ .

$[asy] draw((0,0)--(1,2)--(4,0)--cycle,black); draw((1/2,1)--(2.5,1)--(2,0),black); MP("A",(4,0),SE);MP("C",(1,2),N);MP("E",(0,0),SW); MP("D",(.5,1),W);MP("B",(2.5,1),NE);MP("F",(2,0),S); [/asy]$

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

2006 UNCO Math Contest II (Problems • Answer Key • Resources)
Preceded by Problem 4	Followed by Problem 6
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10
All UNCO Math Contest Problems and Solutions

Page

Toolbox

Search

2006 UNCO Math Contest II Problems/Problem 5

Problem

Solution

See Also