Respuesta :
Concept:
The formula for the perimeter of a square with side L is given below as
[tex]P_{\text{square}}=4\times L[/tex]From the question, the perimeter of the square is given below as
[tex]P_{\text{square}}=4x+24[/tex]Step 1: Substitute the expression above in the formula of the perimeter
[tex]\begin{gathered} P_{\text{square}}=4\times L \\ P_{\text{square}}=4x+24 \\ \text{Therefore,we will have} \\ 4\times L=4x+24 \\ 4L=4x+24 \end{gathered}[/tex]Step 2: Factorize the perimeter 4x+24 by involving brackets
[tex]\begin{gathered} 4L=4x+24 \\ 4L=4(\frac{4x}{4}+\frac{24}{4}) \\ 4L=4(x+6) \end{gathered}[/tex]Step 3:
To find the value of the length of one side of the square, we will divide both sides by 4
[tex]\begin{gathered} 4L=4(x+6) \\ \frac{4L}{4}=\frac{4(x+6)}{4} \\ L=x+6 \end{gathered}[/tex]Hence,
The length of one side of the square = x+6
