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.
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.
