PASCAL 2019 Problem 25

In the diagram, P R and Q S intersect at V. Also, W is on P V, U is on P S and T is on P Q with Q U and S T passing through W. For some real number x,

  • the area of \triangle P U W equals 4 x+4,
  • the area of \triangle S U W equals 2 x+20,
  • the area of \triangle S V W equals 5 x+20,
  • the area of \triangle S V R equals 5 x+11,
  • the area of \triangle Q V R equals 8 x+32, and
  • the area of \triangle Q V W equals 8 x+50.

The area of \triangle P T W is closest to

Image

Answer Choices
A. 35
B. 34
C. 33
D. 32
E. 31