a square has a perimeter of 12x + 52 units. which expression represents the side length of the square in…

Explanation:

Step1: Recall the formula for the perimeter of a square

The perimeter (P) of a square is given by (P = 4s), where (s) is the side - length of the square. So, (s=\frac{P}{4}).

Step2: Substitute the given perimeter into the formula

Given (P = 12x + 52), then (s=\frac{12x + 52}{4}).

Step3: Simplify the expression

Using the distributive property of division (\frac{a + b}{c}=\frac{a}{c}+\frac{b}{c}), we have (s=\frac{12x}{4}+\frac{52}{4}). Since (\frac{12x}{4}=3x) and (\frac{52}{4} = 13), then (s = 3x+13).

Answer:

(3x + 13) (the third option)