Your two equations are 2l+2w=114 and l=2w. To solve the system of equations, rewrite the second sentence as l-2w=0. Since the coefficients of w in the equations have opposite values, add the equations, and solve for l.
2l+2w=114
+ l-2w=0
______________
3l+0=114
l=38
So the answe would be 38 meters