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A square piece of plastic has a perimeter of $400\,\text{centimeters}$ . How long is each side of the piece of plastic?

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Area and perimeter: word problems

Full solution

Q. A square piece of plastic has a perimeter of

400\,\text{centimeters}

. How long is each side of the piece of plastic?

Identify Formula: Identify the formula for the perimeter of a square. $\newline$ 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 $P$ into the formula $P = 4s$ . $P = 4s$ Replace $P$ with $400$ $400 = 4s$
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: $\newline$ $(400/4) = (4s/4)$ $\newline$ $100 = s$
Determine Side Length: Determine the length of each side of the square. Length of each side is $100$ centimeters.

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