2000 Gauss 8 Problem 19

A paved pedestrian path is 5 metres wide. A yellow line is painted down the middle. If the edges of the path measure 40 m, 10 m, 20 m, and 30 m, as shown, what is the length of the yellow line?

\textbf{(A)}\ 100\ \text{m}\quad \textbf{(B)}\ 97.5\ \text{m}\quad \textbf{(C)}\ 95\ \text{m}\quad \textbf{(D)}\ 92.5\ \text{m}\quad \textbf{(E)}\ 90\ \text{m}

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.