Answer:
4(3x+8)
Explanation:
Given that the perimeter of a square box = 12x+32.
We want to write the expression in terms of the side length.
Recall that the perimeter of a square of side length, l is derived using the formula:
[tex]P=4l[/tex]
Thus, factor out 4 in the given expression.
[tex]\begin{gathered} 12x+32=4\mleft(\frac{12x}{4}+\frac{32}{4}\mright) \\ =4(3x+8) \end{gathered}[/tex]
The required equivalent expression is 4(3x+8).
