Question 19
In rectangle $ABCD,$ $AB=6,$ $AD=30,$ and $G$ is the midpoint of $\overline{AD}.$ Segment $AB$ is extended $2$ units beyond $B$ to point $E,$ and $F$ is the intersection of $\overline{ED}$ and $\overline{BC}.$ What is the area of quadrilateral $BFDG?$