Q7. - Algebra 1

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

Step-by-Step Solution

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 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.