Q51. - Algebra 1

Question

A regular octagon measures $\left(3x+5\right)$ units on each side. What is the perimeter if $x=2$?

Step-by-Step Solution

Answer

The perimeter of the given octagon is 88 units.

Step 1. Write the given information.

The measure of each side of the octagon is $(3x+5)$, 

Where $x=2$.

Step 2. The perimeter of an octagon.

The perimeter of an octagon with an equal measure of each sides=8×measure of side.

Step 3. Calculate the perimeter of the octagon.

Calculate the perimeter of an octagon as:

$\text{Perimeter}=8\times \left(3x+5\right)$

Substitute x=2, as

$\begin{array}{l}\text{Perimeter}=8\times \left(3\left(2\right)+5\right)\\ =8\left(6+5\right)\\ =8\times 11\\ =88\end{array}$

Thus, the perimeter of the given octagon is 88 units.