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Taken on the sides ABABAB and BCBCBC of △ABC\triangle ABC△ABC are points KKK and PPP such that AK:BK=1:2AK:BK=1:2AK:BK=1:2 and CP:BP=2:1CP:BP=2:1CP:BP=2:1. The striaght lines APAPAP and CKCKCK intersect at point EEE. Find the area of △ABC\triangle ABC△ABC if it is known that the area of △BEC\triangle BEC△BEC is equal to 4 cm24\text{ cm}^24 cm2.
Give your answer in cm2\text{cm}^{2}cm2.
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