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

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a square is $P = 4s$, where $s$ is the side - length. Given $P=12x + 52$.

Step2: Solve for side - length

We have $4s=12x + 52$. Divide both sides by 4: $s=\frac{12x + 52}{4}$.

Step3: Simplify the expression

Using the distributive property of division $\frac{a + b}{c}=\frac{a}{c}+\frac{b}{c}$, we get $s=\frac{12x}{4}+\frac{52}{4}=3x + 13$.

Answer:

C. $3x + 13$