Respuesta :
Answer:
The expression 3x+13 represents the side length of the square in units.
Step-by-step explanation:
Let the a be the side length of the square in units.
The perimeter of a square is
[tex]P=4a[/tex]
It is given that a square has a perimeter of 12x+52 units. Substitute P=12x+52 in the above formula, to find the expression that represents the side length of the square in units.
[tex]12x+52=4a[/tex]
Divide both sides by 4.
[tex]\frac{12x+52}{4}=\frac{4a}{4}[/tex]
[tex]\frac{12x}{4}+\frac{52}{4}=a[/tex]
[tex]3x+13=a[/tex]
Therefore expression 3x+13 represents the side length of the square in units.