2011 Pascal Problem 14

In the diagram, a garden is enclosed by six straight fences. If the area of the garden is 97 m^2, what is the length of the fence around the garden?

\textbf{(A)}\ 48 \text{ m}\quad \textbf{(B)}\ 47 \text{ m}\quad \textbf{(C)}\ 40 \text{ m}\quad \textbf{(D)}\ 38 \text{ m}\quad \textbf{(E)}\ 37 \text{ m}

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.