Number of Sides of a Regular Polygon:

To determine the number of sides of a regular polygon when given its perimeter and the length of each side, we can use the formula:

n = p / s

Where:
- n is the number of sides of the polygon
- p is the perimeter of the polygon
- s is the length of each side of the polygon

In this case, the perimeter of the polygon is given as 20.5 cm, and the length of each side is given as 4.1 cm.

Calculating the Number of Sides:

Using the formula mentioned above, we can substitute the given values to find the number of sides of the polygon:

n = 20.5 cm / 4.1 cm

Simplifying the expression:

n = 5

Therefore, the regular polygon has 5 sides.

Explanation:

- The formula for finding the number of sides of a regular polygon is n = p / s, where n represents the number of sides, p represents the perimeter, and s represents the length of each side.
- By substituting the given values, we can calculate the number of sides of the polygon.
- In this case, the perimeter is given as 20.5 cm, and the length of each side is given as 4.1 cm.
- By dividing the perimeter by the length of each side, we obtain the number of sides.
- Simplifying the expression, we find that the regular polygon has 5 sides.
- Therefore, the regular polygon is a pentagon, which is a polygon with 5 sides.

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