MathDB

Let

[ABCD]

be a parallelogram and

P

a point between

C

and

D

. The line parallel to

AD

that passes through

P

intersects the diagonal

AC

Q

. Knowing that the area of

[PBQ]

2

and the area of

[ABP]

6

, determine the area of

[PBC]

. https://cdn.artofproblemsolving.com/attachments/0/8/664a00020065b7ad6300a062613fca4650b8d0.png

Problem Statement