2008 Pascal Problem 23

Four pieces of lumber are placed in parallel positions, as shown, perpendicular to line M:

- Piece W is 5 m long - Piece X is 3 m long and its left end is 3 m from line M - Piece Y is 5 m long and is 2 m from line M - Piece Z is 4 m long and is 1.5 m from from line M

A single cut, perpendicular to the pieces of lumber, is made along the dotted line L. The total length of lumber on each side of L is the same. What is the length, in metres, of the part of piece W to the left of the cut?

\textbf{(A)}\ 4.25\quad \textbf{(B)}\ 3.5\quad \textbf{(C)}\ 3.25\quad \textbf{(D)}\ 3.75\quad \textbf{(E)}\ 4.0

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.