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

Answer 1

The ratio of the smaller to the larger is 3:9.  That can also be written as a fraction, $\frac{3}{9}$, which of course can be reduced to $\frac{1}{3}$ or 1:3.  That's your ratio.