Q:

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...

Accepted Solution

A:
The ratio of the perimeter of the smaller polygon to the larger is 1/3.Similar figuresTwo figures are said to be similar of they have the same shape and the ratio of their corresponding sides are in the same proportion.Since the polygons are similar, hence the ratio of their corresponding sides would be congruent. Therefore:Ratio of smaller polygon to larger polygon = ratio of the perimeter of the smaller polygon to the larger = 3 / 9 = 1/3The ratio of the perimeter of the smaller polygon to the larger is 1/3.Find out more on Similar figures at: