It depends on the ratio of a polygon to WHAT!
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It depends on whether the ratio applies to the areas or to the lengths of the sides.
When a polygon is dilated by a scale factor of 3, all its sides are multiplied by 3. This means the perimeter of the image polygon is 3 times the perimeter of the original polygon. Therefore, the ratio of the perimeters is 1:3, as stated. This ratio holds true for any polygon being dilated by the same scale factor.
To find the perimeter of polygon efgh, you need the ratio of similarity between polygons abcd and efgh, as well as the perimeter of polygon abcd. Once you have the perimeter of abcd, multiply it by the ratio to obtain the perimeter of efgh. If the ratio is not provided, it cannot be determined.
Only if they both have the same ratio of length to width. Since every square has the same ratio of length to width ( it's 1 ), all squares are similar. Gee, when you think about it, every regular polygon is similar to every other regular polygon with the same number of sides. I never realized that.
The definition of a irregular polygon is any polygon that is not a regular polygon.