2006 Pascal Problem 20

Five identical rectangles are arranged to form a larger rectangle PQRS, as shown. The area of PQRS is 4000. The length, x, of each of the identical rectangles is closest to

\textbf{(A)}\ 35\quad \textbf{(B)}\ 39\quad \textbf{(C)}\ 41\quad \textbf{(D)}\ 37\quad \textbf{(E)}\ 33

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 Pascal contests here.