To find the perimeter of a square given its area, follow these detailed steps:
1. Find the side length:
The area of a square is given by the formula [tex]\( \text{Area} = \text{side length}^2 \)[/tex].
Given the area is [tex]\( 25 \, \text{ft}^2 \)[/tex]:
[tex]\[
\text{side length}^2 = 25
\][/tex]
To find the side length, take the square root of both sides:
[tex]\[
\text{side length} = \sqrt{25}
\][/tex]
[tex]\[
\text{side length} = 5 \, \text{ft}
\][/tex]
2. Find the perimeter:
The perimeter [tex]\( P \)[/tex] of a square is given by the formula [tex]\( P = 4 \times \text{side length} \)[/tex].
Using the side length found:
[tex]\[
P = 4 \times 5 \, \text{ft}
\][/tex]
[tex]\[
P = 20 \, \text{ft}
\][/tex]
Therefore, the perimeter of the square is [tex]\( 20 \)[/tex] feet.
