# Geometry is so cool

Geometry Level 4

Taken on the sides $AB$ and $BC$ of $\triangle ABC$ are points $K$ and $P$ such that $AK:BK=1:2$ and $CP:BP=2:1$. The striaght lines $AP$ and $CK$ intersect at point $E$. Find the area of $\triangle ABC$ if it is known that the area of $\triangle BEC$ is equal to $4\text{ cm}^2$.

Give your answer in $\text{cm}^{2}$.

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