CAYLEY 2015 Problem 25

Rectangular prism PQRSWTUV has a square base PQRS. Point X is on the face TUVW so that PX=12,QX=10 and RX=8.

Image

The maximum possible area of rectangle PQUT is closest to

Answer Choices
A. 67.84
B. 67.82
C. 67.9
D. 67.86
E. 67.88