length is four times the width ...

this tells you that L = 4W

area is 144 cm[sup:3r4zhovu]2[/sup:3r4zhovu] ...

this tell you that length times width = 144, or LW = 144

substitute 4W for L in the area equation ...

4W(W) = 144

4W[sup:3r4zhovu]2[/sup:3r4zhovu] = 144

W[sup:3r4zhovu]2[/sup:3r4zhovu] = 36

W = 6

now you know what W is, what is the value of L ?

once you find out, substitute those values into the perimeter equation, P = 2(L + W)

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