Thread: areas of related figures

1. areas of related figures

Let P and Q be the points on the sides AB and BC of a triangle ABC respectively such that BP = 3PA and QC = 2BQ.
Let K be the midpoint of the segment PQ. Prove that area of triangle AKC equals to
11S/24, where S is the area of triangle ABC.

2. the prove !

Here is the solution ! enjoy !