Question 11
In the following diagram, $ABCD$ is a rectangle with $|AB|=4$ and $|BC|=6$. Points $E$ and $F$ lie on the sides $BC$ and $AD$ respectively such that $|BE|=|FD|=2$. Points $G$ and $H$ lie on the sides $AB$ and $CD$ respectively such that $|AG|=|CH|=1$. Suppose $P$ lies on $EF$, such that the quadrilateral $BGPE$ has area 5. What is the area of the quadrilateral $FDHP$?
