Question 5
In triangle $ABC$, points $D$ and $E$ are on the sides $AC$ and $AB$, respectively, and point $F$ is the intersection of $BD$ and $CE$, as shown in the diagram below. If the areas of triangles $DFC$, $BCF$ and $BEF$ are equal to $4\text{ cm}^2$, $8\text{ cm}^2$ and $10\text{ cm}^2$, respectively, what is the area, in $\text{cm}^2$, of quadrilateral $ADFE$?
