Answer: The ratio of the perimeter of the smaller polygon to the larger polygon is 1 : 3.
Step-by-step explanation: Given that one polygon has a side of length 3 feet and a similar polygon has a corresponding side of length 9 feet.
We are to find the ratio of the perimeter of the smaller polygon to the larger one.
We know that
the ratio of the perimeters of two similar polygons is equal to the ratio of the lengths of any two corresponding sides of them.
Therefore, the required ratio of the perimeter of the smaller polygon to the larger polygon is given by

Thus, the required ratio is 1 : 3.