Finding the area of each triangle was easy, I got $\Delta ABE=32cm^2$ and $\Delta DBC=36cm^2$. From the figure we can see
-$\angle ADF$ and $\angle BDF$ are supplementary angles (1) so are
*$\angle AFD$ and $\angle EFD$ (2)
*$\angle EFC$ and $\angle EFD$ (3)
*$\angle BEF$ and $\angle CEF$ (4).
-$\angle AFD$ and $\angle CFE$ are opposite angles
Also I tried to do some takeaways of the triangles but it does not seem to work.
How should I approach this type of geometric problems?