In the diagram, rectangle $P Q R S$ has $P Q=30$ and rectangle $W X Y Z$ has $Z Y=15$. If $S$ is on $W X$ and $X$ is on $S R$ so that $S X=10$, then $W R$ equals
(A) 20
(B) 25
(C) 55
(D) 45
(E) 35

![](https://cdn.mathpix.com/cropped/2024_04_20_ac36362783317e0251fdg-062.jpg?height=217&width=393&top_left_y=2342&top_left_x=1294)
Since $P Q R S$ and $W X Y Z$ are rectangles, then $S R=P Q=30$ and $W X=Z Y=15$.

Since $S X=10$, then $W S=W X-S X=15-10=5$.

Thus, $W R=W S+S R=5+30=35$.

ANSWER: (E)