# Subtract from total or not?

Geometry Level 4

In $$\triangle ABC$$, E &F are the point on AC and AB respectively. BE and CF intersect at P.

If $$A(\triangle BPF)$$=5,

$$A ( \Box PFAE)$$=22

$$A(\triangle CPE)$$=8.

Find $$A(\triangle BPC)$$.

Details and Assumptions:-

$$A(\Delta XYZ)$$ represents area of triangle XYZ

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