Partition of triangle

There is a triangle ABC.

On the side AB, there is a point D so as to AD : DB = 2 : 1.

On the side BC, there is a point E so as to BE : EC = 3 : 1.

Moreover, the intersection of AE and CD is set to P and the intersection of extension of BP and AC is set to F.

The area of the triangle ABP is 24 cm² and the ratio of the length of AP and PE is 8 : 1.

(1) Find the area of the triangle ACP.

(2) Find the ratio of the length of AF and CF as the least integer.

Answer