2000 Pascal Problem 7

Three squares with the same centre and corresponding parallel sides are drawn. The distance between the sides of successive squares is 3 and the side length of the largest square is 22, as shown. What is the perimeter of the smallest square?

\textbf{(A)}\ 40\quad \textbf{(B)}\ 100\quad \textbf{(C)}\ 10\quad \textbf{(D)}\ 64\quad \textbf{(E)}\ 20

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.