Math Problem (Level2) : Partition of trapezoid (JJ27)

As for trapezoid ABCD in a figure, AD : BC = 2 : 3 and AD and BC are parallel.

Point P is the point on the side AB and point Q is the point on the side CD. 

The area of the triangle ADQ, the triangle APQ, the triangle CPQ, and the triangle BCP is 3 cm2, 5 cm2, 4 cm2, 3 cm2, respectively.

The intersection of AC and PQ is set to R.

Answer the following questions.

(1) Find the area of the triangle APC.

(2) Find the area of the triangle APR.

Answer

(1) 6 cm² 

(2) 10/3 cm²

Reference