Master Chapter 6 Class 6 - Perimeter and Area (Ganita Prakash) with comprehensive NCERT Solutions, Practice Questions, MCQs, Sample Papers, Case Based Questions, and Video lessons.
Start Learning NowWelcome to Chapter 6, Perimeter and Area, from your Class 6 Maths book, Ganita Prakash.
This chapter is all about two of the most important measurements we use in the real world: the distance around a shape and the space inside it.
Think about putting a fence around a garden. You need to know the total length of the boundary to buy the right amount of fencing. That's perimeter.
Now, think about laying grass or planting trees inside that garden. You need to know the total flat space it covers. That's area.
These two ideas are everywhere, from figuring out the cost of fencing a park to buying the right size carpet for a room. This chapter will give you the tools to measure both.
We will break down this topic into two main parts, starting with the basics and then moving to more complex and interesting problems.
First, we will refresh our understanding of perimeter.
What it is: The perimeter is the total distance covered along the boundary of a closed plane figure when you go around it once.
For Polygons: For any shape made of straight lines (a polygon), the perimeter is simply the sum of the lengths of all its sides.
You will learn and practice the specific formulas for common shapes:
Rectangle: Perimeter = 2 × (length + breadth)
Square: Perimeter = 4 × length of a side
Equilateral Triangle: Perimeter = 3 × length of a side
Regular Polygons: For any regular shape (where all sides are equal, like a hexagon), the formula is: Perimeter = Number of sides × length of one side.
Next, we will move on to area, which is the amount of region or surface enclosed by a closed figure.
We will start by revising the key formulas for area:
Rectangle: Area = length × breadth
Square: Area = side × side
Then, we will learn how to find the area of more complex shapes by:
Splitting: You'll learn to take an L-shaped or T-shaped figure and split it into smaller, simple rectangles. You can then find the area of each part and add them together.
Using a Grid: We will practice estimating the area of irregular shapes (like a leaf or a random curve) by tracing them onto a square grid paper and counting the squares inside.
Area of a Triangle: You will discover a new and powerful idea: that the area of a triangle is exactly half the area of a rectangle that encloses it.
Finally, we will explore the tricky relationship between these two measurements. You will learn, through hands-on activities, that:
Two shapes can have the exact same area but have very different perimeters.
Conversely, two shapes can have the exact same perimeter but enclose very different areas.
Understanding the difference between "around" and "inside" is a critical skill. At Teachoo, we make this clear by solving every single problem, from simple formulas to complex house plans, in a step-by-step way. We show you how to split complex figures and how to think about the difference between area and perimeter.
To begin, please click on any topic link to get started.