1 Answer

Welgriv · Answer 1 · 2023-03-30T15:47:37+0000

Concept:

The formula for the perimeter of a square with side L is given below as

$P_{\text{square}}=4* L$

From the question, the perimeter of the square is given below as

$P_{\text{square}}=4x+24$

Step 1: Substitute the expression above in the formula of the perimeter

$\begin{gathered} P_{\text{square}}=4* L \\ P_{\text{square}}=4x+24 \\ \text{Therefore,we will have} \\ 4* L=4x+24 \\ 4L=4x+24 \end{gathered}$

Step 2: Factorize the perimeter 4x+24 by involving brackets

$\begin{gathered} 4L=4x+24 \\ 4L=4((4x)/(4)+(24)/(4)) \\ 4L=4(x+6) \end{gathered}$

Step 3:

To find the value of the length of one side of the square, we will divide both sides by 4

$\begin{gathered} 4L=4(x+6) \\ (4L)/(4)=(4(x+6))/(4) \\ L=x+6 \end{gathered}$

Hence,

The length of one side of the square = x+6

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