2016 Cayley Problem 17

In the diagram, the perimeter of square PQRS is 120 and the perimeter of \triangle PZS is 2x. Which of the following expressions in terms of x is equal to the perimeter of pentagon PQRSZ?

\textbf{(A)}\ 120+2x\quad \textbf{(B)}\ 40+2x\quad \textbf{(C)}\ 60+2x\quad \textbf{(D)}\ 90+2x\quad \textbf{(E)}\ 30+2x

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.