SEAMO 2018 — Paper C — Grade 5–6 Question 14

In triangle $ABC$, $D$ lies on $BC$, $CD=3BD$, and $E$ is the midpoint of $AD$. Line $CE$ meets $AB$ at $F$. If $[ABC]=14\text{ cm}^2$, find the total shaded area $[AEF]+[DEC]$.