Q64. - Algebra 2

Question

The perimeter of a regular octagon is 124 inches, Find the length of each side.

Step-by-Step Solution

Answer

The required answer is $15.5 inches$

Step 1- Define the octagon

The formula represents the perimeter of an octagon $P=8a$ where a represents the side of the octagon. 

Step 2 – Form the equation

Substitute 124 in place of P into the formula $P=8a$.

$124=8a$

Step 3- Solve the equation for a

Perform division of 8 on both sides of the equation.

$\begin{array}{c}\frac{124}{8}=\frac{8a}{8}\\ a=15.5 inches\end{array}$

Step 4- Perform the checking

Substitute the length of the side of the octagon into the formula $P=8a$.

$\begin{array}{c}P=8\times 15.5\\ =124 inches\end{array}$

This results in the provided perimeter which means that the obtained answer is correct.