a polygon has a perimeter of 30inches. each side is 6inches long. what is the figure

Assuming this is a regular polygon --

30 / 6 = ?

http://www.mathsisfun.com/geometry/polygons.html

hexagon

pentogon

To determine the figure, we need to consider the information given. In this case, we know that the polygon has a perimeter of 30 inches, and each side is 6 inches long.

Since the perimeter of a polygon is the sum of the lengths of all its sides, we can divide the total perimeter (30 inches) by the length of each side (6 inches) to determine the number of sides the polygon has.

Perimeter of polygon = Total length of all sides
Number of sides = Perimeter of polygon / Length of each side

So, if we apply this formula, we get:

Number of sides = 30 inches / 6 inches
Number of sides = 5

Therefore, the polygon has 5 sides.

Now, let's determine the type of polygon based on the number of sides:

A polygon with 5 sides is called a pentagon.

So, the figure in this case is a pentagon.