Hi lakeheadca;
We have the 2 equations:
P = 100 = 2L + 2W
A = 25 = L * W These are easy. But not easy to solve for all those variables. So we try to eliminate one. We solve for the L from the first equation.
L = 100 - 2W = 50 - W
25 = L * W Substitute 50 - W for L
25 = ( 50 - W ) W This is a quadratic, so expand it.
25 = 50W - W^2
W^2 - 50 W + 25 = 0
Now solve by the quadratic formula. Are you Okay with this? Or do you need more help? After you get the answer I will go over the equations with you.