The scale factor of two similar polygons is 6​:1. Find the ratio of their perimeters and the ratio of their areas.

Answer 1

To find the ratio of the perimeters of two similar polygons, we simply need to multiply the scale factor by itself since perimeter is a linear measurement. In this case, the scale factor is 6​:1, so the ratio of the perimeters is 6​:1 x 6​:1 = 36:1.

To find the ratio of the areas of two similar polygons, we need to multiply the scale factor by itself squared, since area is a two-dimensional measurement. So the ratio of their areas is 6​:1 x 6​:1 x 6​:1 = 216:1.