Final answer:
The side length of the square window with a perimeter of (8x+12) feet is found by dividing the perimeter by 4, resulting in an expression for the side length as 2x + 3 feet.
Step-by-step explanation:
To find the side length of a square window with a given perimeter, you can use the fact that the perimeter (P) of a square is equal to four times the side length (s). In this case, the perimeter is expressed as (8x+12) feet. Since there are four sides of equal length in a square, you divide the perimeter by 4 to find the length of one side.
The formula for the perimeter of a square is:
P = 4s
Given the perimeter P = (8x+12), we can solve for the side length s by dividing both sides of the equation by 4:
s = (8x+12) ÷ 4
Simplifying the equation, we get:
s = 2x + 3
Therefore, the expression for the side length of the square window in feet is 2x + 3.