GAUSS8 2018 Problem 22

Square P Q R S has side length 30 , as shown. The square is divided into 5 regions of equal area: \triangle S P T, \triangle S T U, \triangle S V W, \triangle S W R, and quadrilateral S U Q V. The value of \frac{S U}{S T} is closest to

Image

Answer Choices
A. 1.17
B. 1.19
C. 1.21
D. 1.23
E. 1.25