Chapter 6 · CBSE Class 6 Maths (NCERT Ganita Prakash)

Perimeter and Area

Extend what you know about measuring boundaries and space to more shapes and real-world problems.

🏡 Chapter 6

An L-shaped compound figure showing area and perimeter An L-shaped figure made of two rectangles, with its boundary highlighted to show perimeter and its grid to show area Area = sum of both rectangles Perimeter = around the outside
6.1

Perimeter of Regular Shapes

For a regular shape, where all sides are equal, the perimeter is simply the length of one side multiplied by the number of sides.

1

A regular pentagon has each side 7 cm. What is its perimeter?

5 × 7 = 35 cm

2

A regular hexagon has each side 4 cm. What is its perimeter?

6 × 4 = 24 cm

6.2

Area of Combined Shapes

Some shapes are made up of two or more simple shapes joined together. To find the total area, calculate the area of each part separately and add them.

1

An L-shaped room is made of a 6m × 4m rectangle and a 3m × 2m rectangle. What is the total area?

(6×4) + (3×2) = 24 + 6 = 30 square meters

2

A garden is a 5m × 5m square with a 2m × 3m rectangular path removed. What is the remaining area?

(5×5) − (2×3) = 25 − 6 = 19 square meters

Practice

Exercises

1. A regular octagon has each side 3 cm. What is its perimeter?

2. A shape is made of a 4m × 3m rectangle and a 2m × 2m square. What is the total area?

3. A field is 10m × 8m with a 3m × 2m pond removed. What is the remaining area?

4. A rectangular park is 20m long and 15m wide. What is its perimeter?

5. If the perimeter of a square is 32 cm, what is the length of each side?

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