Question

The length of the side of a square is given by the function$s=\sqrt{A}$, where$A$ is the area of the square. What is the length of the side of a square that has an area of 121 square inches?

A 121 inches

B 11 inches

C 44 inches

D 10 inches

Short answer

The length of the side of a square that has an area of 121 square inches is 11 inches. Therefore, the option B is correct.

Step-by-step solution

Step 1. Write the formula to find the length of the side of a square.

The length $\left(s\right)$ of the side of a square is given by:

$s=\sqrt{A}$, where$A$ is the area of the square.

Step 2. Find the length of the side of a square that has an area of 121 square inches.

The area of the square is 121 square inches. Therefore, the value of $A$is 121.

Substitute 121 for $A$in $s=\sqrt{A}$to find the value of $s$.

$$\begin{gathered} s=\sqrt{A} \\ =\sqrt{121} \\ =\sqrt{11\times 11} \\ =\sqrt{{11}^2} \\ =11 \end{gathered}$$

Therefore, the value of $s$is 11.

Step 3. Conclusion.

Therefore, the length of the side of a square that has an area of 121 square inches is 11 inches. Therefore, the option B is correct.