2002 Gauss 8 Problem 23

A map is drawn to a scale of 1{:}10\,000. On the map, the Gauss Forest occupies a rectangular region measuring 10 cm by 100 cm. What is the actual area of the Gauss Forest, in \text{km}^2?

\textbf{(A)}\ 100\quad \textbf{(B)}\ 1\,000\,000\quad \textbf{(C)}\ 1000\quad \textbf{(D)}\ 1\quad \textbf{(E)}\ 10

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.