Question

One polygon has a side of length 3 feet. A similar polygon has a corresponding side of length 9 feet. The ratio of the perimeter of the smaller polygon to the larger is:

a) 3/1
b) 1/6
c) 1/3
d) 9/3

Answer 1

The ratio of the perimeters of the similar polygons is the same as the ratio of their corresponding side lengths, which is 1/3.

Step-by-step explanation:

The ratio of the perimeters of similar polygons is equal to the ratio of their corresponding sides. Here, we have one side of a polygon that is 3 feet long and a similar polygon's corresponding side that is 9 feet long. Hence, the ratio of the smaller polygon's side length to the larger polygon's corresponding side length is 3/9, which simplifies to 1/3. Since the polygons are similar, their perimeters are proportional to their side lengths, so the ratio of their perimeters will also be 1/3.