Question 10
In triangle $ABC$, $D$ lies on $BC$, $CD=3BD$, and $E$ is the midpoint of $AD$. The line $CE$ meets $AB$ at $F$, as shown. Given that triangle $ABC$ has area $14\text{ cm}^2$, find the total area of the shaded regions $AFE$ and $DEC$, in $\text{cm}^2$.
