In the elementary math curriculum, students will encounter various exercises related to the perimeter and area of pentagons. If you are asked by students to help with solving problems involving the perimeter of a pentagon but accidentally forget the concepts, drawing methods, and formulas for the perimeter of a pentagon, this article by Mytour.vn will help you refresh your knowledge.
Perimeter of a pentagon, a guide on how to calculate the perimeter of a regular and irregular pentagon.
How to calculate the perimeter of a pentagon
1. Formula for calculating the perimeter of a pentagon
General formula: P = a + b + c + d + e
Where:
P: Perimeter symbol
a, b, c, d, e are the sides of the pentagon
This formula is also applicable for calculating the perimeter of an irregular pentagon. In the special case of a regular pentagon, the formula for calculating the perimeter of a regular pentagon is generalized as follows:
P = 5 x a where a is the side of the regular pentagon.
Illustrative example of calculating the perimeter of a pentagon
Example 1: Calculate the perimeter of pentagon ABCDE with side lengths of 6cm, 8cm, 2 cm, 5 cm, and 9cm respectively.
Solution:
Applying the formula for calculating the perimeter of an irregular pentagon, we have
P (ABCDE) = 6 + 8 + 2 + 5 + 9 = 30cm
Answer: The perimeter of pentagon ABCDE is 30cm
Example 2: Calculate the perimeter of a regular pentagon with side length a = 9cm
Solution:
Let the given regular pentagon be ABCDE
Applying the formula for calculating the perimeter of a regular pentagon, we have
P (ABCDE) = 5 x 9 = 45cm
Answer: The perimeter of the regular pentagon is 45cm
2. Explore more about the perimeter of a pentagon
- Concept of a pentagon: A pentagon is a shape with 5 sides, and all sides lie on the same plane. Pentagons are divided into two types: irregular pentagons and regular pentagons.
- Theoretical calculation of the perimeter of a pentagon: The perimeter of a pentagon is the sum of the lengths of its sides.
Common types of pentagons
- Simplest way to draw a regular pentagon:
In your learning journey, you will undoubtedly be asked by your teachers to draw a regular pentagon. If you are unsure about how to draw a regular pentagon with a compass, refer to the step-by-step guide Here
Here, Mytour.vn has taken you through an overview of knowledge about regular pentagons and how to calculate their perimeter, right? In the upcoming articles, we will continue introducing the formulas for calculating the perimeter of basic geometric shapes in the elementary school curriculum, such as triangles, rectangles, diamonds, trapezoids, etc. Be sure to regularly visit the Mytour.vn website for more insights.
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Pentagons are shapes belonging to the group of polygons. If you want to have an overview of various types of polygons and formulas for calculating perimeter, you can explore the article on how to calculate the perimeter of polygons on Mytour.vn.