In rectangle A B C D, A B=6, A D=30, and G is the midpoint of \overline{A D}. Segment A B is extended 2 units beyond B to point E, and F is the intersection of \overline{E D} and \overline{B C}. What is the area of B F D G ?

**Answer Choices**

A. \dfrac{133}{2}

B. 67

C. \dfrac{135}{2}

D. 68

E. \dfrac{137}{2}