Question

A square patio has a perimeter of (32x+8) feet. What is the length of the patio?

Answer 1

Hello There!!

Given

Perimeter = (32x + 8)

To Find

Length of the Patio

We Know,

$\text{Perimeter of Square = 4 × sides}$

$\text{ 32x + 8} = 4 \times \text{sides} \\ \\ \fbox{dividing each side with 4} \\ \\ \implies \text{( 32x} \div 4) + (8 \div 4) = \frac{4 \times \text{sides}} {4} \\ \\ \implies \text{8x + 2} = \frac{ \cancel4 \times \text{sides}} { \cancel4} \\ \\ \implies \text{sides} = \text{8x + 2}$

$\therefore \text{ Length of the Patio} = \text \red{ \underline{8x + 2 feet}}$

Hope this helps!!