Download Perimeter and Area – NCERT Class 6 Maths Chapter 6 PDF from the new NCERT Class 6 Maths book Ganita Prakash (2026-27). Read the chapter online or download the free PDF. The perimeter of a closed plane figure is the distance you cover going once around its boundary. For a polygon it is simply the sum of the lengths of all its sides.
Perimeter and Area PDF – Chapter 6 of Ganita Prakash
Read the chapter online or download the PDF.
| Chapter | Download | |
|---|---|---|
| Chapter 6 PDF | Perimeter and Area | View PDF |
| Full book | NCERT Class 6 Maths – Ganita Prakash | View Book |
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What Is in Perimeter and Area? (Class 6 Maths Chapter 6)
- The perimeter of a closed plane figure is the distance you cover going once around its boundary. For a polygon it is simply the sum of the lengths of all its sides.
- Perimeter of a rectangle = 2 × (length + breadth), perimeter of a square = 4 × side, and for any regular polygon, perimeter = number of sides × length of a side.
- The area of a closed figure is the amount of region it encloses. It is measured in square units — sq cm, sq m, square units of a grid.
- Area of a rectangle = length × width and area of a square = side × side. Squares are used as the unit of area because they pack together with no gaps and no overlaps.
- The area of an irregular shape is estimated by counting squares on graph paper: a full square counts 1, more than half counts 1, exactly half counts ½, less than half is ignored.
- A diagonal cuts a rectangle into two triangles of equal area, so a triangle drawn inside a rectangle on the same base and between the same pair of lines has half the area of that rectangle.
- Two figures can have the same area but different perimeters (nine unit squares can give a perimeter of 12, 18 or 20 units), and the same perimeter with different areas.
Quick revision – Perimeter and Area
| Idea | Formula / rule | Worked example from the chapter | Units |
|---|---|---|---|
| Perimeter of a polygon | Sum of the lengths of all sides | 4 cm + 5 cm + 7 cm = 16 cm | Cm, m |
| Perimeter of a rectangle | 2 × (length + breadth) | 2 × (12 + 8) = 40 cm | Cm, m |
| Perimeter of a square | 4 × side | 4 × 1 m = 4 m | Cm, m |
| Perimeter of an equilateral triangle | 3 × side | 3 × 5 cm = 15 cm | Cm, m |
| Perimeter of a regular polygon | Number of sides × side | Regular hexagon: 6 × 6 cm = 36 cm | Cm, m |
| Area of a rectangle | Length × width | 5 m × 4 m = 20 sq m | Sq cm, sq m |
| Area of a square | Side × side | 3 m × 3 m = 9 sq m | Sq cm, sq m |
| Area by counting squares | Full = 1, more than half = 1, half = ½, less than half = 0 | The four dot-grid figures give 4, 9, 10 and 11 sq units | Square units |
| Triangle inside a rectangle | Half the area of the rectangle | Triangle BAD = ½ × 20 = 10 sq units | Square units |
| Splitting a figure | Cut it into rectangles and triangles, then add | Staircase figure = 9 + 7 + 10 + 2 = 28 sq m | Sq m |
| Same area, different perimeter | 9 unit squares → perimeter 12, 18 or 20 units | 3 × 3 square is 12; 1 × 9 strip is 20 | Units |
| Same area, least perimeter | The rectangle closest to a square | Area 24: 4 × 6 has the least perimeter, 20 units | Units |
Old NCERT vs New – Class 6 Maths
This chapter is from Ganita Prakash, the new NCERT Class 6 Maths book (NCF-SE 2023, used from 2024-25). It replaced the old book “Mathematics”, so chapter numbers and names differ from older PDFs.
Solutions and All Chapters
Answers to the exercises and the full chapter list of Ganita Prakash:
Perimeter and Area – Overview
| Class | Class 6 |
| Subject | Maths |
| Book | Ganita Prakash – new NCERT book |
| Chapter | 6 of 10 – Perimeter and Area |
| Book pages | 129 – 150 |
| Edition | NCERT Reprint 2026-27 |
| Session | 2026-27 |
| Free – read online or download |
Class 6 Maths Chapter 6 – FAQs
Where can I download Perimeter and Area Class 6 PDF?
From the download table on this page – the chapter PDF is free, and the full book is linked too.
What is Class 6 Maths Chapter 6 about?
The perimeter of a closed plane figure is the distance you cover going once around its boundary. For a polygon it is simply the sum of the lengths of all its sides.
Is Perimeter and Area from the new NCERT Class 6 Maths book?
Yes. It is chapter 6 of ganita prakash, the new NCERT Class 6 Maths book for 2026-27.
Is this the latest NCERT edition for 2026-27?
Yes – the PDF is NCERT’s latest edition for the 2026-27 session.
Where are the NCERT Solutions for Class 6 Maths Chapter 6?
Open the NCERT Solutions link above for answers to the exercise questions.