Using proportions, it is found that the regular polygon described by this figure is an hexagon.
A proportion is a fraction of a total amount, , and the measures are related using a rule of three.
A regular polygon means that all sides have the same measure, in this problem of 6 inches. The perimeter is the sum of the n sides, which is 36. Hence, the rule of three to find the number of sides is given as follows:
1 side - 6 inches
n sides - 36 inches
Applying cross multiplication:
6n = 36 -> n = 6.
The figure has 6 sides, meaning that it is an hexagon.
More can be learned about proportions at https://brainly.com/question/24372153
