Question

Given the two similar octagons shown below, find the perimeter of the larger octagon

Answer 1

238 units

Step-by-step explanation:

If two shapes are similar, then the ratio of the corresponding sides must be equal.

• In the smaller octagon, side length = 4

,

• The corresponding side length in the larger octagon = 28

`\text{Ratio}=(28)/(4)=7`

Therefore, the perimeter of the larger octagon:

`\begin{gathered} Perimeter=\text{Perimeter of the smaller octagon }* Scale\text{ Factor} \\ =34*7 \\ =238\text{ units} \end{gathered}`