Question 2
On $\triangle ABC$ points $A,$ $D,$ $E,$ and $B$ lie in that order on side $\overline{AB}$ with $AD = 4,$ $DE = 16,$ and $EB = 8.$ Points $A,$ $F,$ $G,$ and $C$ lie in that order on side $\overline{AC}$ with $AF = 13,$ $FG = 52,$ and $GC = 26.$ Let $M$ be the reflection of $D$ through $F,$ and let $N$ be the reflection of $G$ through $E.$ Quadrilateral $DEGF$ has area $288.$ Find the area of heptagon $AFNBCEM.$
