Question

I need help with a math question. I uploaded the picture of the question below.

Answer 1

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:

`P=4l`

Thus, factor out 4 in the given expression.

`\begin{gathered} 12x+32=4\mleft((12x)/(4)+(32)/(4)\mright) \\ =4(3x+8) \end{gathered}`

The required equivalent expression is 4(3x+8).