CAYLEY 2022 Problem 16

In the diagram, hexagon P Q R S T U has interior right angles at P, Q, S, T, and U and an exterior right angle at R. Also, P U=U T, P Q=S T=10, and Q S=8. The perimeter of P Q R S T U is closest to

Image

Answer Choices
A. 48
B. 56
C. 63
D. 71
E. 72