2002 Gauss 7 Problem 10

Two squares, each with an area of 25\ \text{cm}^2, are placed side by side to form a rectangle. What is the perimeter of this rectangle?

\textbf{(A)}\ 30\ \text{cm}\quad \textbf{(B)}\ 25\ \text{cm}\quad \textbf{(C)}\ 50\ \text{cm}\quad \textbf{(D)}\ 20\ \text{cm}\quad \textbf{(E)}\ 15\ \text{cm}

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 Gauss contests here.