If two polygons are similar, then the ratio of the lengths of any two corresponding sides is called the scale factor. The scale factor between those two hexagons is
![(1.8)/(0.3)=6](https://img.qammunity.org/2023/formulas/mathematics/high-school/3v1xzx5ujjc7q5r9flzwxcaxaoksdmjk4t.png)
Now, to find the perimeter of the bigger hexagon, we just multiply the perimeter of the similar hexagon by the scale factor
![1.8*6=10.8](https://img.qammunity.org/2023/formulas/mathematics/high-school/2965zlcyqmfe9si5ou1ya2p6kstht8tuq1.png)
The perimeter of the bigger hexagon is 10.8m.