We know that

  Area is surface inside the figure

 

But how do we find the area?

We consider a squared paper like this

30.jpg

 

In this squared paper,

We make a rectangle like

Finding area by counting squares - Part 2

 

To find area, we count the squares inside the rectangle

Number of square = 15

 

So, Area = 15 square units

 

Here,

Area will be equal to number of squares

Finding area by counting squares - Part 3

 

But what does square units means?

 

In our figure

Finding area by counting squares - Part 4

Unit means the size of 1 square

Unit can be anything,

  cm

  m

  km

 

Now,

Square units means

Finding area by counting squares - Part 5

While calculating area by counting squares,

we follow these rules

  • If area is less than half square, ignore it (take it 0)
  • If area is more than half square, take it 1 square unit
  • If area is exactly half square, take 1/2 square unit

Let’s solve some examples

 

Let’s find area of this square

Finding area by counting squares - Part 6

 

Now,  we count the squares

Number of squares = 25

So,

      Area = 25 square units

 

Area of Circle

Let’s find area of circle

Finding area by counting squares - Part 7

Covered Area

Number

Area

Fully - filled squares

4

1 × 4 = 4

Half - filled squares

4

1/2 × 4 = 2

More than Half - filled squares

8

1 × 8 = 8

Less than Half - filled squares

0 0

 

So,

Area = 4 + 8 + 2

        = 14 Square units

 

Area of Pentagon

Finding area by counting squares - Part 8

Covered Area

Number

Area

Fully - filled squares

4

1 × 4 = 4

Half - filled squares

0

0

More than Half - filled squares

4

1 × 4 = 4

Less than Half - filled squares

6 0

 

So,

     Area = 4 + 4 + 0

             = 8 Square units

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.