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
[tex]\frac{1.8}{0.3}=6[/tex]
Now, to find the perimeter of the bigger hexagon, we just multiply the perimeter of the similar hexagon by the scale factor
[tex]1.8\times6=10.8[/tex]
The perimeter of the bigger hexagon is 10.8m.
