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A square chess board has a perimeter of $52$ inches. How long is each side of the board?

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Area and perimeter: word problems

Full solution

Q. A square chess board has a perimeter of

52

inches. How long is each side of the board?

Identify Formula: Identify the formula for the perimeter of a square. The formula for the perimeter of a square is $P = 4s$ , where $P$ is the perimeter and $s$ is the length of one side.
Plug in Value: Plug in the value of $P$ in $P = 4s$ . $\newline$ $P = 4s$ $\newline$ Replace $P$ with $52$ $\newline$ $52 = 4s$
Solve for $s$ : Solve for $s$ by isolating it on one side of the equation. $\newline$ Dividing both sides of the equation by $4$ , we get: $\newline$ $(52/4) = ((4s)/4)$ $\newline$ $13 = s$
Determine Side Length: Determine the length of each side of the chess board. Length of each side is $13$ inches.

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