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Fields and Fences
(Refer to chapter # 13 of the NCERT Maths Book of Class IV)
Summary
• Perimeter is the sum of the lengths of all the sides of a shape. The 
perimeter is expressed in units used for measuring length of the side 
of this shape. It can be cm, m or km.
• Area is the number of square units needed to cover a shape. Area is 
expressed in square of the units used for measuring length. Area can 
be expressed as sq cm, sq m, sq km.
Tutty Speaks
Perimeter is the distance
around the boundary
Area is the amount
of surface covered
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74
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Fields and Fences
(Refer to chapter # 13 of the NCERT Maths Book of Class IV)
Summary
• Perimeter is the sum of the lengths of all the sides of a shape. The 
perimeter is expressed in units used for measuring length of the side 
of this shape. It can be cm, m or km.
• Area is the number of square units needed to cover a shape. Area is 
expressed in square of the units used for measuring length. Area can 
be expressed as sq cm, sq m, sq km.
Tutty Speaks
Perimeter is the distance
around the boundary
Area is the amount
of surface covered
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M
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T H
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75
1. Find the perimeter of the shapes given below. The length of the side of 
each small square in the grid is 1 cm.
(i)
  (ii) (iii)
2. Find the area of the shapes given below. The area of each square in the grid 
is 1 square cm.
  (i) (ii)
Page 3


74
M E
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Fields and Fences
(Refer to chapter # 13 of the NCERT Maths Book of Class IV)
Summary
• Perimeter is the sum of the lengths of all the sides of a shape. The 
perimeter is expressed in units used for measuring length of the side 
of this shape. It can be cm, m or km.
• Area is the number of square units needed to cover a shape. Area is 
expressed in square of the units used for measuring length. Area can 
be expressed as sq cm, sq m, sq km.
Tutty Speaks
Perimeter is the distance
around the boundary
Area is the amount
of surface covered
M E
N
T
A
L
M
A
T H
S
75
1. Find the perimeter of the shapes given below. The length of the side of 
each small square in the grid is 1 cm.
(i)
  (ii) (iii)
2. Find the area of the shapes given below. The area of each square in the grid 
is 1 square cm.
  (i) (ii)
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3. 
 
  A B C
 Which of the following statements is true for given figures A, B and C?
(A) Perimeter of A > Perimeter of B and Perimeter of B = Perimeter  
of C.
(B) Perimeter of  A < Perimeter of B and Perimeter of B > Perimeter  
of C.
(C) Perimeter of A = Perimeter of B and Perimeter of B is not equal to 
Perimeter of C
(D) Perimeter of A = Perimeter of B = Perimeter of C.
4. Birju wants to fence his field. His field looks like:
(i) How long is the boundary of his field?
(ii) How much more wire will he need to fence his field if he has 50 m  
of wire?
15 m
9 m
18 m
9 m
15 m
Page 4


74
M E
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A
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Fields and Fences
(Refer to chapter # 13 of the NCERT Maths Book of Class IV)
Summary
• Perimeter is the sum of the lengths of all the sides of a shape. The 
perimeter is expressed in units used for measuring length of the side 
of this shape. It can be cm, m or km.
• Area is the number of square units needed to cover a shape. Area is 
expressed in square of the units used for measuring length. Area can 
be expressed as sq cm, sq m, sq km.
Tutty Speaks
Perimeter is the distance
around the boundary
Area is the amount
of surface covered
M E
N
T
A
L
M
A
T H
S
75
1. Find the perimeter of the shapes given below. The length of the side of 
each small square in the grid is 1 cm.
(i)
  (ii) (iii)
2. Find the area of the shapes given below. The area of each square in the grid 
is 1 square cm.
  (i) (ii)
76
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3. 
 
  A B C
 Which of the following statements is true for given figures A, B and C?
(A) Perimeter of A > Perimeter of B and Perimeter of B = Perimeter  
of C.
(B) Perimeter of  A < Perimeter of B and Perimeter of B > Perimeter  
of C.
(C) Perimeter of A = Perimeter of B and Perimeter of B is not equal to 
Perimeter of C
(D) Perimeter of A = Perimeter of B = Perimeter of C.
4. Birju wants to fence his field. His field looks like:
(i) How long is the boundary of his field?
(ii) How much more wire will he need to fence his field if he has 50 m  
of wire?
15 m
9 m
18 m
9 m
15 m
M E
N
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77
5. A table cloth is in the shape of a rectangle with 1 m 50 cm length and  
50 cm breadth.
(i) How much lace is needed to fix around this table cloth?
(ii) How much lace will be used in four such table clothes?
6. What should be calculated (Area / Perimeter) if –
(i) Gopal wants to fence his garden?
(ii) Neena wants to carpet her room?
(iii) Khichru wants to grass his field?
(iv) Kavi wants to construct wall around his plot?
7. Each side of a triangle is 6 cm long. What will be the length of its  
boundary?
8. A jogging track has six trees along its boundary as shown in the figure 
given:
 There is gap of 13 m between every two trees. Varun jogs around it twice. 
How much distance does he cover?
1m 50 cm
50 cm
Page 5


74
M E
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S
 
Fields and Fences
(Refer to chapter # 13 of the NCERT Maths Book of Class IV)
Summary
• Perimeter is the sum of the lengths of all the sides of a shape. The 
perimeter is expressed in units used for measuring length of the side 
of this shape. It can be cm, m or km.
• Area is the number of square units needed to cover a shape. Area is 
expressed in square of the units used for measuring length. Area can 
be expressed as sq cm, sq m, sq km.
Tutty Speaks
Perimeter is the distance
around the boundary
Area is the amount
of surface covered
M E
N
T
A
L
M
A
T H
S
75
1. Find the perimeter of the shapes given below. The length of the side of 
each small square in the grid is 1 cm.
(i)
  (ii) (iii)
2. Find the area of the shapes given below. The area of each square in the grid 
is 1 square cm.
  (i) (ii)
76
M E
N
T
A
L
M
A
T H
S
3. 
 
  A B C
 Which of the following statements is true for given figures A, B and C?
(A) Perimeter of A > Perimeter of B and Perimeter of B = Perimeter  
of C.
(B) Perimeter of  A < Perimeter of B and Perimeter of B > Perimeter  
of C.
(C) Perimeter of A = Perimeter of B and Perimeter of B is not equal to 
Perimeter of C
(D) Perimeter of A = Perimeter of B = Perimeter of C.
4. Birju wants to fence his field. His field looks like:
(i) How long is the boundary of his field?
(ii) How much more wire will he need to fence his field if he has 50 m  
of wire?
15 m
9 m
18 m
9 m
15 m
M E
N
T
A
L
M
A
T H
S
77
5. A table cloth is in the shape of a rectangle with 1 m 50 cm length and  
50 cm breadth.
(i) How much lace is needed to fix around this table cloth?
(ii) How much lace will be used in four such table clothes?
6. What should be calculated (Area / Perimeter) if –
(i) Gopal wants to fence his garden?
(ii) Neena wants to carpet her room?
(iii) Khichru wants to grass his field?
(iv) Kavi wants to construct wall around his plot?
7. Each side of a triangle is 6 cm long. What will be the length of its  
boundary?
8. A jogging track has six trees along its boundary as shown in the figure 
given:
 There is gap of 13 m between every two trees. Varun jogs around it twice. 
How much distance does he cover?
1m 50 cm
50 cm
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9. Fifteen bricks each of length 22 cm are joined length wise to form a fence. 
What is the total length of that fence?
10. What is the total boundary of this tent house?
Answer Key
1. (i) 16 cm (ii) 26 cm (iii) 24 cm 
2. (i) 18 sq. cm. (ii) 43 sq. cm.
3. B 
4. (i) 66 m (ii) 16 m
5. (i) 4 m (ii) 16 m 
6. (i) Perimeter (ii) Area (iii) Area (iv) Perimeter 
7. 18 cm
8. 156 m
4 cm
8 cm
3 cm 3 cm
4 cm
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FAQs on Printable Textbook: Fields and Fences - Level 3 - Mental Maths - Class 1

1. What are the primary themes explored in "Fields and Fences"?
Ans. The primary themes in "Fields and Fences" include the relationship between nature and agriculture, the importance of boundaries in social and personal contexts, and the impact of human actions on the environment. The text often illustrates how fields symbolize productivity and growth, while fences represent limitations and protection.
2. How does "Fields and Fences" address the concept of community?
Ans. "Fields and Fences" addresses the concept of community by illustrating how shared resources and collective responsibilities shape relationships among individuals. The text highlights the importance of cooperation in farming and land use, emphasizing that strong communities are built on mutual respect and support, often symbolized by the boundaries that define shared spaces.
3. In what ways does the article demonstrate the impact of historical land use practices?
Ans. The article demonstrates the impact of historical land use practices by discussing various agricultural methods used over time and their effects on the landscape and society. It examines how traditional farming techniques have evolved and how these changes have influenced both the environment and community structures, showing a timeline of development from past to present.
4. What role do fences play in the narrative of "Fields and Fences"?
Ans. In "Fields and Fences," fences play a crucial role as symbols of both division and protection. They represent the boundaries that separate different areas of land, reflecting personal and social conflicts. At the same time, fences also signify security and the need for individuals to protect their resources, illustrating the dual nature of boundaries in human interactions.
5. How can the lessons from "Fields and Fences" be applied to modern environmental issues?
Ans. The lessons from "Fields and Fences" can be applied to modern environmental issues by encouraging sustainable land use practices and promoting awareness of the interconnectedness of communities and their environments. The text advocates for responsible stewardship of natural resources and highlights the importance of creating boundaries that preserve ecological integrity while fostering community development.
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