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# Mensuration Exercise 20.3 Class 6 Notes | EduRev

## Class 6 : Mensuration Exercise 20.3 Class 6 Notes | EduRev

Page 1

1. The following figures are drawn on a squared paper. Count the number of squares enclosed by each
figure and find its area, taking the area of each square as 1 cm
2
. (Fig. 20.25).

Solution:

(i) The given shape has 16 complete squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 16 × 1 = 16 cm
2

(ii) The given shape has 36 complete squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 36 × 1 = 36 cm
2

(iii) The given shape has 15 complete and 6 half squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 15 + 6 × 12 = 18 cm
2

(iv) The given shape has 20 complete and 8 half squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 20 + 8 × 12 = 24 cm
2

(v) The given shape has 13 complete, 8 more than half and 7 less than half squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 13 + 8 × 1 = 21 cm
2

(vi) The given shape has 8 complete, 6 more than half and 4 less than half squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 8 + 6 × 1 = 14 cm
2

2. On a squared paper, draw (i) a rectangle, (ii) a triangle (iii) any irregular closed figure. Find the
approximate area of each by counting the number of squares complete, more than half and exactly half.
Page 2

1. The following figures are drawn on a squared paper. Count the number of squares enclosed by each
figure and find its area, taking the area of each square as 1 cm
2
. (Fig. 20.25).

Solution:

(i) The given shape has 16 complete squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 16 × 1 = 16 cm
2

(ii) The given shape has 36 complete squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 36 × 1 = 36 cm
2

(iii) The given shape has 15 complete and 6 half squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 15 + 6 × 12 = 18 cm
2

(iv) The given shape has 20 complete and 8 half squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 20 + 8 × 12 = 24 cm
2

(v) The given shape has 13 complete, 8 more than half and 7 less than half squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 13 + 8 × 1 = 21 cm
2

(vi) The given shape has 8 complete, 6 more than half and 4 less than half squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 8 + 6 × 1 = 14 cm
2

2. On a squared paper, draw (i) a rectangle, (ii) a triangle (iii) any irregular closed figure. Find the
approximate area of each by counting the number of squares complete, more than half and exactly half.

Solution:

(i) A rectangle
The given shape has 18 complete squares
Assume that area of one square = 1 cm
2

So the area of the rectangle = 18 × 1 = 18 cm
2

(ii) A triangle
The given shape has 4 complete, 6 more than half and 6 less than half squares.
Assume that area of one square = 1 cm
2

So the area of the square = 4 + 6 × 1 = 10 cm
2

(iii) Any irregular figure
The given shape has 10 complete, 1 exactly half, 7 more than half and 6 less than half squares.
Assume that area of one square = 1 cm
2

So the area of the shape = 10 + 1 × 12 + 7 × 1 = 17.5 cm
2

Page 3

1. The following figures are drawn on a squared paper. Count the number of squares enclosed by each
figure and find its area, taking the area of each square as 1 cm
2
. (Fig. 20.25).

Solution:

(i) The given shape has 16 complete squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 16 × 1 = 16 cm
2

(ii) The given shape has 36 complete squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 36 × 1 = 36 cm
2

(iii) The given shape has 15 complete and 6 half squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 15 + 6 × 12 = 18 cm
2

(iv) The given shape has 20 complete and 8 half squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 20 + 8 × 12 = 24 cm
2

(v) The given shape has 13 complete, 8 more than half and 7 less than half squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 13 + 8 × 1 = 21 cm
2

(vi) The given shape has 8 complete, 6 more than half and 4 less than half squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 8 + 6 × 1 = 14 cm
2

2. On a squared paper, draw (i) a rectangle, (ii) a triangle (iii) any irregular closed figure. Find the
approximate area of each by counting the number of squares complete, more than half and exactly half.

Solution:

(i) A rectangle
The given shape has 18 complete squares
Assume that area of one square = 1 cm
2

So the area of the rectangle = 18 × 1 = 18 cm
2

(ii) A triangle
The given shape has 4 complete, 6 more than half and 6 less than half squares.
Assume that area of one square = 1 cm
2

So the area of the square = 4 + 6 × 1 = 10 cm
2

(iii) Any irregular figure
The given shape has 10 complete, 1 exactly half, 7 more than half and 6 less than half squares.
Assume that area of one square = 1 cm
2

So the area of the shape = 10 + 1 × 12 + 7 × 1 = 17.5 cm
2

3. Draw any circle on the graph paper. Count the squares and use them to estimate the area of the circular
region.
Solution:

The given circles has 21 complete, 15 more than half and 8 less than half squares.
Assume that area of one square = 1 cm
2

By neglecting less than half squares, we get
Area of the circle = 21 + 15 = 36 cm
2

4. Use tracing paper and centimetre graph paper to compare the areas of the following pairs of figures:

Solution:

With the help of tracing paper trace both the figures on a graph
Figure (i) has 4 complete, 9 more than half and 9 less than half squares.
Assume that area of one square = 1 cm
2

By neglecting less than half squares, we get
Area of the shape = 4 + 9 = 13 cm
2

Figure (ii) has 8 complete, 11 more than half and 10 less than half squares.
Assume that area of one square = 1 cm
2

Page 4

1. The following figures are drawn on a squared paper. Count the number of squares enclosed by each
figure and find its area, taking the area of each square as 1 cm
2
. (Fig. 20.25).

Solution:

(i) The given shape has 16 complete squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 16 × 1 = 16 cm
2

(ii) The given shape has 36 complete squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 36 × 1 = 36 cm
2

(iii) The given shape has 15 complete and 6 half squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 15 + 6 × 12 = 18 cm
2

(iv) The given shape has 20 complete and 8 half squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 20 + 8 × 12 = 24 cm
2

(v) The given shape has 13 complete, 8 more than half and 7 less than half squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 13 + 8 × 1 = 21 cm
2

(vi) The given shape has 8 complete, 6 more than half and 4 less than half squares.
It is given that area of one square = 1 cm
2

So the area of the given shape = 8 + 6 × 1 = 14 cm
2

2. On a squared paper, draw (i) a rectangle, (ii) a triangle (iii) any irregular closed figure. Find the
approximate area of each by counting the number of squares complete, more than half and exactly half.

Solution:

(i) A rectangle
The given shape has 18 complete squares
Assume that area of one square = 1 cm
2

So the area of the rectangle = 18 × 1 = 18 cm
2

(ii) A triangle
The given shape has 4 complete, 6 more than half and 6 less than half squares.
Assume that area of one square = 1 cm
2

So the area of the square = 4 + 6 × 1 = 10 cm
2

(iii) Any irregular figure
The given shape has 10 complete, 1 exactly half, 7 more than half and 6 less than half squares.
Assume that area of one square = 1 cm
2

So the area of the shape = 10 + 1 × 12 + 7 × 1 = 17.5 cm
2

3. Draw any circle on the graph paper. Count the squares and use them to estimate the area of the circular
region.
Solution:

The given circles has 21 complete, 15 more than half and 8 less than half squares.
Assume that area of one square = 1 cm
2

By neglecting less than half squares, we get
Area of the circle = 21 + 15 = 36 cm
2

4. Use tracing paper and centimetre graph paper to compare the areas of the following pairs of figures:

Solution:

With the help of tracing paper trace both the figures on a graph
Figure (i) has 4 complete, 9 more than half and 9 less than half squares.
Assume that area of one square = 1 cm
2

By neglecting less than half squares, we get
Area of the shape = 4 + 9 = 13 cm
2

Figure (ii) has 8 complete, 11 more than half and 10 less than half squares.
Assume that area of one square = 1 cm
2

By neglecting less than half squares, we get
Area of the shape = 8 + 11 = 19 cm
2

By comparing the areas of both the shapes, we know that the figure (ii) has area greater than that of figure (i).

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## Mathematics (Maths) Class 6

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