Question 11
Points $P$ and $Q$ are on sides $AB$ and $BC$ of triangle $ABC$, respectively, such that $BP=3PA$, $QC=2BQ$ and point $K$ is the midpoint of segment $PQ$. If the area of triangle $ABC$ is $120\ \mathrm{cm}^2$, find the area, in $\mathrm{cm}^2$, of triangle $AKC$.
