Question 26
Let $ABCD$ be a parallelogram with $AB = 8$, $AD = 11$, and $\angle BAD = 60^{\circ}$. Let $X$ be on segment $CD$ with $CX / XD = 1 / 3$ and $Y$ be on segment $AD$ with $AY / YD = 1 / 2$. Let $Z$ be on segment $AB$ such that $AX$, $BY$, and $DZ$ are concurrent. Determine the area of triangle $XYZ$.
