FERMAT 2021 Problem 20

In the diagram, P R T Y and W R S U are squares. Point Q is on P R and point X is on T Y so that P Q X Y is a rectangle. Also, point T is on S U, point W is on Q X, and point V is the point of intersection of U W and T Y, as shown. If the area of rectangle P Q X Y is 30 , the length of S T is closest to

Image

Answer Choices
A. 5
B. 5.25
C. 5.5
D. 5.75
E. 6