Respuesta :

The side of the square is (12x+52)/4=3x+13.

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.