In rectangle ABCD, $$AB=5$$ and $$BC=3$$. Points F and G are on the line segment CD so that $$DF=1$$ and $$GC=2$$. Lines AF and BG intersect at E. What is the area of AEB?

A

10 sq. units

B

$$\frac{15}{2}$$ sq. units

C

$$\frac{25}{2}$$ sq. units

D

20 sq. units