# a+b

Level pending

In rectangle $$ABCD$$, $$AB=6$$, $$AD=30$$, and $$G$$ is the midpoint of $$AD$$. Segment $$AB$$ is extended $$2$$ units beyond $$B$$ to point $$E$$, and $$F$$ is the intersection of $$ED$$ and $$BC$$. If the area of $$BFDG$$ can be expressed in the form $$\frac{a}{b}$$, where $$a$$ and $$b$$ are coprime, positive integers, what is $$a+b$$?

×