Question

a regular octagon has an area of 49 m 2 . find the scale factor of this octagon to a similar octagon with an area of 100 m 2

Answer 1

Given,

The area of the regular octagon is 49 square metre.

The area of the another regular octagon is 100 square metre.

`\begin{gathered} \text{Scaling factor=}\frac{\sqrt{\text{area of regular polygon}}}{\sqrt[]{\text{area of another regular plogon}}\text{ }} \\ \text{Scaling factor=}\frac{\sqrt[]{\text{4}9}}{\sqrt[]{\text{1}00}\text{ }} \\ \text{Scaling factor=}\frac{7}{10\text{ }} \end{gathered}`

Here, the scaling factor of the regualar octagon is 7:10

Hence, the scaling factor is 7:10.