Two polygons are similar. The perimeter of the larger polygon is 120 yards and the ratio of the corresponding side lengths is 16. Find the perimeter of the other polygon.
13.8
To find the perimeter of the smaller polygon, we need to find the ratio of the perimeters of the two polygons.
Since the ratio of the corresponding side lengths is 16, we can also say that the ratio of the perimeters is 16. In other words, if the perimeter of the larger polygon is 120 yards, then the perimeter of the smaller polygon is:
(perimeter of smaller polygon) = (perimeter of larger polygon) / (ratio of perimeters)
Plugging in the values we know:
(perimeter of smaller polygon) = 120 / 16
Simplifying:
(perimeter of smaller polygon) = 7.5
Therefore, the perimeter of the smaller polygon is 7.5 yards.