Not sure that you can slove anything.
-2w = r + s is one linear equation in 3 unknown variables. You need three independent equations in 3 variables to be able to solve them.
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x = (P - 2W) / 2
w=4
W/3 + 2W/3 is one possible answer.
a = L x W: area equals length times the width. p = 2L + 2W: perimeter equals 2 times the length plus 2 times the width so L = (p - 2W)/2
2L+2W=P (S2w) Subtract 2W from both sides 2L=P-2W (D2) Divide both sides by 2 L=(P-2W)/2