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The area of a square name tag is $25\,\text{square centimeters}$ . How long is each side? $\newline$ $\_\_\_\_$ centimeters

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Area and perimeter: word problems

Full solution

Q. The area of a square name tag is

25\,\text{square centimeters}

. How long is each side?

\newline

\_\_\_\_

centimeters

Identify Side Length: Let $s$ be the side length of the square. $\newline$ Which equation represents the area of a square. $\newline$ The area is the product of the lengths of two sides (since all sides are equal in a square). $\newline$ $A = s^2$
Area Equation: Area of square name tag: $25$ square centimeters $\newline$ Which equation represents the area of a square name tag. $\newline$ Substitute $25$ for $A$ in $A = s^2$ . $\newline$ $25 = s^2$
Substitute Area Value: $25 = s^2$ $\newline$ What is the length of each side of the name tag? $\newline$ Take the square root of both sides to solve for $s$ . $\newline$ $\sqrt{25} = \sqrt{s^2}$ $\newline$ $5 = s$ $\newline$ Side length of the square name tag: $5$ centimeters

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