In rectangle A B C D, A B=5 and B C=3. Points F and G are on \overline{C D} so that D F=1 and G C=2. Lines A F and B G intersect at E. Find the area of \triangle A E B.
Answer Choices A. 10 B. \dfrac{21}{2} C. 12 D. \dfrac{25}{2} E. 15
