Respuesta :

Answer:

238 units

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

[tex]\text{Ratio}=\frac{28}{4}=7[/tex]

Therefore, the perimeter of the larger octagon:

[tex]\begin{gathered} Perimeter=\text{Perimeter of the smaller octagon }\times Scale\text{ Factor} \\ =34\times7 \\ =238\text{ units} \end{gathered}[/tex]