Question

The table below shows the relationship between the side lengths of a regular octagon and it’s perimeter,complete the table

Answer 1

the table shown is a relation between the side lengths of a regular octagon and its perimeter

so, the easiest way to find the ratio is.

Step 1

divide the perimeter by the length of the side

$\begin{gathered} \frac{8}{1}=8 \\ \frac{16}{2}=8 \\ \frac{24}{3}=8 \\ \frac{32}{4}=8 \end{gathered}$

so, the factor is 8, it means that you need take the length and multiply by 8 to obtain the perimeter

Step 2

find the misssing values

$\begin{gathered} 9\cdot8=72 \\ 72 \\ 12\cdot8=96 \\ 96 \end{gathered}$

so, the numbers in the table must be 72 and 96.