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P = perimeter, L = length, W = width

P = 2L + 2W = 2(8) + 2W = 2W + 16 = 46

2W = 30

W = 15

So as long as x is 15 inches or more, it will have a perimeter at least 46.

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Q: One side of a rectangle is 8 inches and the other side is x inches What values of x will make the perimeter at least 46?
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