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the side of a square is 9 x and its perimeter is 36 in

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Gene G. | You can do it! I'll show you how.You can do it! I'll show you how.
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The perimeter of a square is just (4)(s), where s is the length of each side.
P = 4s
The length of each side is 9x.
s=9x.

Just substitute the 9x for s in the perimeter formula:
P = 4s = (4)(9x)
36    =    36x
1 = x