2006 Pascal Problem 9

In the diagram, the rectangle has a width of w, a length of 8, and a perimeter of 24. What is the ratio of its width to its length?

\textbf{(A)}\ 1:4\quad \textbf{(B)}\ 1:3\quad \textbf{(C)}\ 1:2\quad \textbf{(D)}\ 3:8\quad \textbf{(E)}\ 2:3

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.