Find the areas of the following figures by counting square:

Solution:

We will be using the formula of area for all figures

(a)

We know that area of 1 square = 1 sq. unit

Now, the total number of squares in the figure = 9

Area of 9 squares = 9 × 1 sq. unit

= 9 sq. units.

Therefore, the area of the given figure is 9 sq. units.

(b)

There are 5 squares in the given figure.

So, Area of 5 squares = 5 × 1 sq. unit

= 5 sq. units

Therefore, the area of the figure is 5 sq. units.

(c)

There are 2 complete squares and 4 half squares in the figure.

So, Area of the figure = 2 × 1 + 4 × 1/2 = 2 + 2 sq. units

= 4 sq. units

Thus, the area of the given figure is 4 sq. units.

(d)

There are 8 squares in the figure.

So, the area of the figure = 8 × 1 sq. unit

= 8 sq. units.

Therefore, the area of the given figure is 8 sq. units.

(e)

There are 10 squares in the figure.

So, the area of the figure = 10 × 1 sq. unit = 10 sq units.

Thus, the area of the figure is 10 sq. units

(f)

There are 2 complete squares and 4 half squares in the figure.

So, Area of the figure = (2 × 1 + 4 × 1/2)

= (2 + 2) sq units

= 4 sq. units.

Thus, area of the given figure is 4 sq. units.

(g)

There are 4 complete squares and 4 half squares in the figure.

So, Area of the given figure = (4 × 1 + 4 × 1/2)

= (4 + 2) sq. units

= 6 sq. units.

Therefore, the area of the given figure is 6 sq. units.

(h)

There are 5 squares in the figure.

So, Area of the figure = 5 × 1 sq. unit

= 5 sq. units.

Thus, the area of the given figure is 5 sq. units.

(i)

There are 9 squares in the figure.

So, Area of the figure = 9 × 1

= 9 sq. units

Thus, the area of the given figure is 9 sq. units.

(j)

There are 2 complete squares and 4 half squares in the figure.

So, Area of the figure =(2 × 1 + 4 × 1/2) sq. units

= (2 + 2) sq. units

= 4 sq. units.

Thus, the area of the figure is 4 sq. units.

(k)

There are 4 complete squares and 2 half squares in the figure.

So, Area of the figure = (4 × 1 + 2 × 1/2) sq. units

= (4 + 1) sq. units

= 5 sq. units

Thus, the area of the figure is 5 sq. units.

(l)

There are 4 complete squares, 3 greater than half squares and 2 half squares in the figure.

So, Area of the figure = (4 × 1 + 3 × 1 + 2 × ½) sq units

= (4 + 3 + 1) sq units

= 8 sq units.

(m)

There are 6 complete squares and 8 greater than half squares in the figure.

So, Area of the figure = (6 × 1 + 8 × 1) sq units

= 6 + 8 sq. units

= 14 sq. units

(n)

There are 9 complete squares and 9 greater than half squares in the figure.

So, Area of the figure = (9 × 1 + 9 × 1) sq units =

(9 + 9) sq units

= 18 sq units.

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NCERT Solutions for Class 6 Maths Chapter 10 Exercise 10.2 Question 1

Find the areas of the following figures by counting square:

Summary:

(a) The area of 9 squares = 9 sq units. (b) The area of 5 squares = 5 sq units. (c) The area of 2 complete squares and 4 half squares = 4 sq units. (d) The area of 8 squares = 8 sq units. (e) The area of 10 squares = 10 sq units. (f) The area of 2 complete squares and 4 half squares = 4 sq units. (g) The area of 4 complete squares and 4 half squares = 6 sq units. (h) The area of 5 squares = 5 sq units. (i) The area of 9 squares = 9 sq units. (j) The area of 2 complete squares and 4 half squares = 4 sq units. (k) The area of 4 complete squares and 2 half squares = 5 sq units. (l) The area of 4 complete squares, 3 greater than half squares and 2 half squares = 8 sq units. (m) The area of 6 complete squares and 8 greater than half squares = 14 sq units. (n) The area of 9 complete squares and 9 greater than half squares =18 sq units.

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