$ABCD$ is a rectangle where $AB=8$ and $AD=6$. Points $E$ and $F$ are on the line segment $DC$ where $DE=3$ and $CF=2$. Lines $AF$ and $BE$ intersect at point $H$.The area of $\triangle AHB$ $=\frac {x}{11}$, where $x$ is a positive integer. What is the value of $x$?