2008 AMC 10A Problem 18

A right triangle has perimeter 32 and area 20. What is the length of its hypotenuse?

\mathrm{(A)}\ \frac{57}{4}\qquad\mathrm{(B)}\ \frac{59}{4}\qquad\mathrm{(C)}\ \frac{61}{4}\qquad\mathrm{(D)}\ \frac{63}{4}\qquad\mathrm{(E)}\ \frac{65}{4}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.