Class 06 To find the formula for the area of a rectangle by activity method

ACTIVITY – Mensuration

Objective: 

To find the formula for the area of a rectangle by activity method.

Materials Required: 

Squared paper, colour pencils, geometry box, etc.

Procedure:

On a squared paper, draw four different rectangles as shown below.

 Observations:

In figure 1 (a):

Length of the rectangle = 4 units

Breadth of the rectangle = 5 units

Also, the rectangle encloses 20 small squares, each of area 1 square unit. 

Or area of the rectangle = 20 square units 

= (4 x 5) square units          

                                    = (length x breadth) square units

ACTIVITY – Mensuration

2. In figure 1 (b):

Length of the rectangle = 8 units

Breadth of the rectangle = 2 units

Also, the rectangle encloses 16 small squares, each of area 1 square unit.

Or area of the rectangle = 16 square units

= (8 x 2) square units

=(length x breadth) square units

3. In figure (c):

Length of the rectangle = 7 units

Breadth of the rectangle = 3 units

Also, the rectangle encloses 21 small squares, each of area 1 square unit.

Or area of the rectangle = 21 square units

= (7 x 3) square units

= (length x breadth) square units

ACTIVITY – Mensuration

4. In figure 1 (d):

Length of the rectangle = 10 units

Breadth of the rectangle = 6 units.

Also, the rectangle encloses 60 small squares, each of area 1 square unit.

Or area of the rectangle = 60 square units.

= (10 x 6) square units

= (length x breadth) square units.

Conclusion: 

From the above activity, we can conclude that:

Area of a rectangle = length x breadth

Do Yourself: 

Verify the formula for area of a rectangle by taking the dimensions of the rectangle as:

1. 6 units x 2 units 2. 1 unit x 5 units 3.9 units x 4 units.