SOLUTION: A square sign must have a perimeter of no more than 225 inches. what lengths are acceptable for the sides of the sign?

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Question 534025: A square sign must have a perimeter of no more than 225 inches. what lengths are acceptable for the sides of the sign?
Answer by fcabanski(1391) About Me  (Show Source):
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The formula for the perimeter (P) of a square with sides length S is:

P = 4S. Divide both sides by 4 to find the length of a side.


P/4 = S.


In this problem we're given a maximum P (225 inches). So S must be no bigger than a length that will result in 225 inches. That is:

S <= P/4 Which is S <= 225/4. That gives: S <= 56.25 inches.


Sides can be any length equal to 56.25 inches, or smaller than 56.25 inches.