Hello There!!
Given
Perimeter = (32x + 8)
To Find
Length of the Patio
We Know,
[tex] \text{Perimeter of Square = 4 × sides}[/tex]
[tex] \text{ 32x + 8} = 4 \times \text{sides} \\ \\ \fbox{dividing each side with 4} \\ \\ \implies \text{( 32x} \div 4) + (8 \div 4) = \frac{4 \times \text{sides}} {4} \\ \\ \implies \text{8x + 2} = \frac{ \cancel4 \times \text{sides}} { \cancel4} \\ \\ \implies \text{sides} = \text{8x + 2}[/tex]
[tex]\therefore \text{ Length of the Patio} = \text \red{ \underline{8x + 2 feet}}[/tex]
Hope this helps!!
