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A square bedroom has an area of $81\,\text{square feet}$ . How long is each side of the bedroom? $\newline$ $\_\_\_\_$ feet

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Area and perimeter: word problems

Full solution

Q. A square bedroom has an area of

81\,\text{square feet}

. How long is each side of the bedroom?

\newline

\_\_\_\_

feet

Understand the problem: Understand the problem. $\newline$ We are given the area of a square bedroom and need to find the length of one side. The area of a square is calculated by squaring the length of one side ( $\text{Area} = \text{side}^2$ ). To find the length of the side, we need to take the square root of the area.
Calculate side length: Calculate the length of one side of the square bedroom. $\newline$ Since the area is $81$ square feet, we take the square root of $81$ to find the length of one side. $\newline$ $\sqrt{81} = 9$
Verify the result: Verify the result. $\newline$ To check our work, we can square the length of the side to ensure it gives us the original area. $\newline$ $9^2 = 81$ $\newline$ This confirms that the area of a square with sides of $9$ feet is indeed $81$ square feet.

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