A2. Segments $A E$ and $B C$ in the figure are parallel and perpendicular to segment $A B$. It is also given that $|A B|=4$, $|B C|=6$, and $|A E|=8$. What is the difference between the areas of triangles $A D E$ and $B C D$?
(A) 2
(B) 4
(C) 5
(D) 8
(E) 9
A2. The difference between the areas of triangles $A D E$ and $B C D$ is equal to the difference between the areas of triangles $A B E$ and $A B C$, which is $\frac{|A B| \cdot|A E|}{2}-\frac{|A B| \cdot|B C|}{2}=\frac{4.8}{2}-\frac{4 \cdot 6}{2}=4$.