2002 Fermat Problem 5

A rectangular picture of Pierre de Fermat, measuring 20 cm by 40 cm, is positioned as shown on a rectangular poster measuring 50 cm by 100 cm. What percentage of the area of the poster is covered by the picture?

\textbf{(A)}\ 24\%\quad \textbf{(B)}\ 16\%\quad \textbf{(C)}\ 20\%\quad \textbf{(D)}\ 25\%\quad \textbf{(E)}\ 40\%

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 Fermat contests here.