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