Question 5
Parallelogram $ABCD$ has area $144\text{ cm}^2$. Point $M$ lies on $AB$. Let $O=AC\cap BD$, $E=DM\cap AC$ and $F=CM\cap BD$, as shown. The two hatched triangles $ADE$ and $BCF$ have total area $48\text{ cm}^2$. Find the area of quadrilateral $MFOE$.
