Q34. - Algebra 1

Question

The perimeter of a regular octagon is 128 inches. Find the length of each side.

Step-by-Step Solution

Answer

The length of each side of the octagon is 16 inches

Step 1. Definition.

Equation: An equation is a mathematical statement that two expressions are equal. An equation will always contain an equal sign with an expression on each side

Perimeter: Perimeter of a figure is the sum of the length of all its sides.

An octagon has eight sides of equal length

Step 2. formulate the equation.

To find: the Side length of the octagon.

The perimeter of the octagon $=128\text{ inches}$.

Let the length of each side of the octagon be $x$

Therefore, the equation will be

$\mathbf{8}\mathit{x}\mathbf{=}\mathbf{128}$

Step 3. Description of steps.

$\begin{array}{l}8x=128\text{ Original equation}\\ \Rightarrow x=\frac{128}{8}\text{ Divide 128 by 8}\\ \Rightarrow x=16\end{array}$

The length of each side of the octagon is 16 inches