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
(A) 48
(B) 56
(C) 63
(D) 71
(E) 72

![](https://cdn.mathpix.com/cropped/2024_04_20_e85ef69091c57cb633f3g-009.jpg?height=347&width=385&top_left_y=2060&top_left_x=1312)