To find the length of each side of a square window given its perimeter, we need to use the formula for the perimeter of a square. Let's walk through the steps:
1. Recall the formula for the perimeter of a square:
[tex]\[
P = 4s
\][/tex]
where [tex]\( P \)[/tex] is the perimeter and [tex]\( s \)[/tex] is the length of one side of the square.
2. We are given that the perimeter ([tex]\( P \)[/tex]) of the window is 80 inches. We need to find the side length ([tex]\( s \)[/tex]).
3. Substitute the given perimeter into the formula:
[tex]\[
80 = 4s
\][/tex]
4. To solve for [tex]\( s \)[/tex], we need to isolate [tex]\( s \)[/tex] on one side of the equation. Divide both sides by 4:
[tex]\[
s = \frac{80}{4}
\][/tex]
5. Carry out the division:
[tex]\[
s = 20
\][/tex]
So the length of each side of the square window is 20 inches. Therefore, the correct answer is:
B. 20 inches
