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A square has an area of 176 square inches. What is the length of a side of the square, in inches?

A. 44
B. [tex]16 \sqrt{11}[/tex]
C. 88
D. [tex]4 \sqrt{11}[/tex]

Answer :

To find the length of a side of a square when given its area, you can follow these steps:

1. Understand the relationship between area and side length:
The area of a square is calculated as the side length squared. If we denote the side length as [tex]\( s \)[/tex], then area = [tex]\( s^2 \)[/tex].

2. Set up the equation:
We're given the area of the square as 176 square inches. So, we have:
[tex]\[
s^2 = 176
\][/tex]

3. Solve for the side length:
To find [tex]\( s \)[/tex], take the square root of both sides:
[tex]\[
s = \sqrt{176}
\][/tex]

4. Calculate the square root:
The square root of 176 is approximately 13.27 (rounded to two decimal places).

Therefore, the length of a side of the square is approximately 13.27 inches.

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