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A square window has a perimeter of $76$ inches. How long is each side?

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Area and perimeter: word problems

Full solution

Q. A square window has a perimeter of

76

inches. How long is each side?

Understand the problem: Understand the problem. $\newline$ We are given the perimeter of a square window and need to find the length of one side. $\newline$ A square has four equal sides, so to find the length of one side, we divide the perimeter by $4$ .
Set up the equation: Set up the equation. $\newline$ Perimeter of a square = $4 \times$ (length of one side) $\newline$ $76$ inches = $4 \times$ (length of one side)
Solve for the length: Solve for the length of one side. $\newline$ Divide both sides of the equation by $4$ to isolate the length of one side. $\newline$ (length of one side) = $76$ inches $\div 4$
Calculate the length: Calculate the length of one side. $\newline$ (length of one side) = $19$ inches

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