In the given figure $AC=BD=3$ units and $CE=DE=1$ unit.
Find the value of the expression $\frac{AF}{FD}$.
We know that the median divides the area of a triangle in to two equal halves.
Therefore,
AREA $\triangle ECD$ = $\frac{1}{2}$$\frac{1}{2}$(AREA $\triangle EAD$)

Let $r$ be the bisector of $\angle AEB$. By simmetry, $F$ can be defined as $AD\cap r$. So $\frac{AF}{FD}=\frac{AE}{ED}=4$.