Geometry

Question Analysis

The main focus of this question is to calculate the perimeter of a regular polygon using the property that all sides of a regular polygon are equal. It tests the understanding of how to apply this property in a perimeter - calculation context.

 

Key Concept Explanation

Regular Polygons: A regular polygon has all sides of equal length. The perimeter  of a polygon is the sum of the lengths of all its sides. For a regular polygon with  sides and side length , the perimeter formula is .

 

Step - by - Step Solution

1. Identify the number of sides and side length:

The given polygon is a pentagon, so  (since a pentagon has 5 sides).

The length of each side .

2. Apply the perimeter formula:

Using the formula , substitute  and .

Click "Show Answer" to reveal the answer and analysis