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CBSE Notes
Class 6
Maths
Chapter 6 Perimeter And Area

CBSE Notes Class 6 Maths Chapter 6 Perimeter and Area

Perimeter is the total distance around the edge of a shape. To find it, we add the lengths of all the sides. Area is the amount of space inside a shape, measured in square units like cm² or m². To calculate area, we use different formulas depending on the shape. For example, the area of a rectangle is length × width, and the perimeter is the sum of all sides. Understanding these concepts helps us solve real-life problems like measuring land or building materials.

1.0What is Perimeter? 

The Perimeter of a shape is the total length of the boundary or the distance around the shape. 

To find the perimeter, you simply add up the lengths of all the sides of the shape. Let’s look at some common shapes and how we calculate their perimeters

Perimeter of a Rectangle 

A Rectangle is a shape with four sides, where opposite sides are equal in length. To find the perimeter of a rectangle, we use this formula:

Perimeter of Rectangle = 2 × (Length + Breadth)

For example, if a rectangle has a length of 8 cm and a breadth of 5 cm, the perimeter will be:

Perimeter = 2 × (8 + 5) = 2 × 13 = 26 cm

perimeter of a rectangle

Perimeter of a Square

A Square is a special kind of rectangle where all four sides are equal in length. To calculate the perimeter of a square, you simply multiply the length of one side by 4:

Perimeter of Square = 4 × Side

For example, if one side of a square is 5 cm, the perimeter will be:

Perimeter = 4 × 5 = 20 cm

Perimeter of a square

Perimeter of a Triangle

A Triangle has three sides. To find the perimeter of a triangle, simply add up the lengths of all three sides:

Perimeter of Triangle = a + b + c

For example, if a triangle has sides measuring cm, 8 cm, and 10 cm, the perimeter will be:

Perimeter = 5 + 8 + 10 = 23 cm

perimeter of a triangle

Perimeter of a Regular Polygon

A Regular Polygon is a polygon in which all sides are equal in length. To find the perimeter of a regular polygon, you multiply the length of one side by the total number of sides:

Perimeter of Regular Polygon = Number of sides × Length of one side

For example, for a regular hexagon (a polygon with 6 sides) with each side measuring 2 cm, the perimeter will be:

Perimeter = 6 × 2 = 12 cm

Perimeter of a regular polygon

Perimeter of an Equilateral Triangle

An Equilateral Triangle is a triangle where all three sides are of equal length. To find its perimeter, simply multiply the length of one side by 3:

perimeter of equilateral triangle

Perimeter of Equilateral Triangle = 3 × Side

For example, if one side of an equilateral triangle is 4 cm, the perimeter will be:

Perimeter = 3 × 4 = 12 cm

2.0What is Area?

While Perimeter measures the distance around the boundary of a shape, Area measures the amount of space inside the shape. It tells us how much surface a shape covers. We measure area in square units like square centimetres (cm²), square meters (m²), or square inches (in²).

Now, let’s look at how to calculate the area of some common shapes:

Area of a Triangle

To calculate the Area of a Triangle, we use the formula:

 Area of Triangle =21​× Base × Height 

For example, if a triangle has a base of 6 cm and a height of 4 cm, the area will be:

 Area =21​×6×4=12 cm2

Also Read :- Area of Equilateral Triangle

3.0Benefits of CBSE Notes for Class 6 Maths Chapter 6 - Perimeter and Area

  • Improved Problem-Solving Skills: By studying well-crafted CBSE Notes for Class 6 Maths and the included examples, you can develop a better understanding of how to approach and solve various problems related to perimeter and area.
  • Conceptual Clarity: CBSE Notes can provide additional explanations or alternative perspectives that might not be immediately clear from the NCERT Solutions textbook alone, leading to deeper conceptual clarity.
  • Time-Saving: Instead of searching through the entire chapter for specific information, well-organised CBSE Notes for Class 6 provide all the essential details in one place, saving you valuable study time.
  • Building a Strong Foundation: A solid understanding of perimeter and area in CBSE Class 6 forms a crucial foundation for more advanced geometry concepts in higher classes. Good notes can help you build this strong base.
  • Self-Assessment: Some notes might include practice questions or summaries that allow you to quickly assess your understanding of the chapter.

Chapter-wise CBSE Notes for Class 6 Maths:

Class 6 Maths Chapter 1 - Patterns In Mathematics Notes

Class 6 Maths Chapter 2 - Lines And Angles Notes

Class 6 Maths Chapter 3 - Number Play Notes

Class 6 Maths Chapter 4 - Data Handling And Presentation Notes

Class 6 Maths Chapter 5 - Prime Time Notes

Class 6 Maths Chapter 6 - Perimeter And Area Notes

Class 6 Maths Chapter 7 - Fractions Notes

Class 6 Maths Chapter 8 - Playing With Constructions Notes

Class 6 Maths Chapter 9 - Symmetry Notes

Class 6 Maths Chapter 10 - The Other Side Of Zero Notes


Chapter-wise NCERT Solutions for Class 6 Maths:

Chapter 1: Patterns in Mathematics

Chapter 2: Lines and Angles

Chapter 3: Number Play

Chapter 4: Data Handling and Presentation

Chapter 5: Prime Time

Chapter 6: Perimeter and Area

Chapter 7: Fractions

Chapter 8: Playing With Construction

Chapter 9: Symmetry

Chapter 10: The Other Side of Zero

Frequently Asked Questions

The perimeter is the total length of the boundary or the distance around a shape. To calculate the perimeter, you add the lengths of all the sides of the figure.

A regular polygon is a polygon where all sides are equal. To calculate the perimeter of a regular polygon, multiply the length of one side by the number of sides: Perimeter of Regular Polygon=Number of sides × Length of one side

Area is the amount of space inside a shape. It is measured in square units like square centimeters (cm²), square meters (m²), or square inches (in²). The area tells you how much surface the shape covers.

Perimeter measures the distance around a shape (the total length of its sides). Area measures the amount of space inside the shape (how much surface it covers). For example, for a rectangle, the perimeter is the total length around the edges, while the area is the total space inside the rectangle.

Understanding how to calculate the perimeter and area is important in everyday life. For instance, when you are fencing a garden, you need to know the perimeter to buy the right amount of fencing material. Similarly, when you want to paint a wall, you need to know the area to buy the correct amount of paint. These concepts are used in construction, design, and many other fields.

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