Geometry is so cool

Geometry Level 4

Taken on the sides ABAB and BCBC of ABC\triangle ABC are points KK and PP such that AK:BK=1:2AK:BK=1:2 and CP:BP=2:1CP:BP=2:1. The striaght lines APAP and CKCK intersect at point EE. Find the area of ABC\triangle ABC if it is known that the area of BEC\triangle BEC is equal to 4 cm24\text{ cm}^2.

Give your answer in cm2\text{cm}^{2}.

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