AMC 12A 2004 Problem 8

In the Figure, \angle E A B and \angle A B C are right angles, A B=4, B C=6, A E=8, and \overline{A C} and \overline{B E} intersect at D. What is the di erence between the areas of \triangle A D E and \triangle B D C ?

Answer Choices
A. 2
B. 4
C. 5
D. 8
E. 9

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