PASCAL 2018 Problem 20

In the diagram, P Q R S T is a pentagon with P Q=8, Q R=2, R S=13, S T=13, and T P=8. Also, \angle T P Q=\angle P Q R=90^{\circ}. What is the area of pentagon P Q R S T ?

Answer Choices
A. 76
B. 84
C. 92
D. 100
E. 108