Question 65
Distinct points $A$, $B$, $C$, $D$ are given such that triangles $ABC$ and $ABD$ are equilateral and both are of side length $10$. Point $E$ lies inside triangle $ABC$ such that $EA=8$ and $EB=3$, and point $F$ lies inside triangle $ABD$ such that $FD=8$ and $FB=3$. What is the area of quadrilateral $AEFD$?