NCERT Solutions for Class 5 Maths (Math Magic) Chapter 11 Area and its Boundary
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Book Name: Math Magic
Subject: Maths
Chapter Number: 11
Chapter Name: Area and its Boundary
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Book Name: Math Magic
Subject: Maths
Chapter Number: 11
Chapter Name: Area and its Boundary
You can also bookmark this page by clicking + Save to Library icon and refer to these NCERT Solutions anytime from your account. More Detail
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Page 1
NCERT
SOLUTIONS
CLASS - 5th
aglase .co
SOLUTIONS
CLASS - 5th
aglase .co
Page 2
Class : 5th
Subject : Maths
Chapter : 11
Chapter Name : Area And Its Boundary
Q1 Suggest some ways to nd out whose piece is bigger. Discuss?
Answer. There are various ways to decide whose piece is bigger following ideas can be used. Idea
1: Cut the piece B as shown here.
It is observed that the rst and second parts exactly cover the piece A. but the third part is
remaining which shows that part B is bigger than part A.
Idea 2: We can divide the piece A and B into a 1cm square in the following way.
Now, count the number of small boxes in each piece. There are 30 boxes in piece A and 33 boxes
in piece B So, piece B is bigger than piece A.
Page : 146 , Block Name : Whose Slice Is Bigger?
Q2 Altogether how many squares can be arranged on it?
Answer. 30 square
Page : 147 , Block Name : Whose Slice Is Bigger?
Q3 So, the area of piece A = ________ square cm
Answer. 30 square cm
Subject : Maths
Chapter : 11
Chapter Name : Area And Its Boundary
Q1 Suggest some ways to nd out whose piece is bigger. Discuss?
Answer. There are various ways to decide whose piece is bigger following ideas can be used. Idea
1: Cut the piece B as shown here.
It is observed that the rst and second parts exactly cover the piece A. but the third part is
remaining which shows that part B is bigger than part A.
Idea 2: We can divide the piece A and B into a 1cm square in the following way.
Now, count the number of small boxes in each piece. There are 30 boxes in piece A and 33 boxes
in piece B So, piece B is bigger than piece A.
Page : 146 , Block Name : Whose Slice Is Bigger?
Q2 Altogether how many squares can be arranged on it?
Answer. 30 square
Page : 147 , Block Name : Whose Slice Is Bigger?
Q3 So, the area of piece A = ________ square cm
Answer. 30 square cm
Page 3
Page : 147 , Block Name : Whose Slice Is Bigger?
Q4 In the same way nd the area of piece B.
Answer. We can divide the area into 33 boxes. So, the area is 33 square cm.
Page : 147 , Block Name : Whose Slice Is Bigger?
Q5 Who had the bigger piece? How much bigger?
Answer. Piece B had bigger area then Piece A by (33 – 30) = 3 square cm
Page : 147 , Block Name : Whose Slice Is Bigger?
Q1 Measure the yellow rectangle. It is ________ cm long.
Answer. 14 cm
Page : 148 , Block Name : Check Your Guess
Q2 How many stamps can be placed along its length? ________
Answer. 7 steps
Page : 148 , Block Name : Check Your Guess
Q3 How wide is the rectangle? ________ cm
Answer. 10 cm.
Page : 148 , Block Name : Check Your Guess
Q4 How many stamps can be placed along its width? ________
Answer. 5 stamps.
Page : 148 , Block Name : Check Your Guess
Q5 How many stamps are needed to cover the rectangle?
Answer. 7 X 5 = 35 stamps.
Page : 148 , Block Name : Check Your Guess
Q4 In the same way nd the area of piece B.
Answer. We can divide the area into 33 boxes. So, the area is 33 square cm.
Page : 147 , Block Name : Whose Slice Is Bigger?
Q5 Who had the bigger piece? How much bigger?
Answer. Piece B had bigger area then Piece A by (33 – 30) = 3 square cm
Page : 147 , Block Name : Whose Slice Is Bigger?
Q1 Measure the yellow rectangle. It is ________ cm long.
Answer. 14 cm
Page : 148 , Block Name : Check Your Guess
Q2 How many stamps can be placed along its length? ________
Answer. 7 steps
Page : 148 , Block Name : Check Your Guess
Q3 How wide is the rectangle? ________ cm
Answer. 10 cm.
Page : 148 , Block Name : Check Your Guess
Q4 How many stamps can be placed along its width? ________
Answer. 5 stamps.
Page : 148 , Block Name : Check Your Guess
Q5 How many stamps are needed to cover the rectangle?
Answer. 7 X 5 = 35 stamps.
Page : 148 , Block Name : Check Your Guess
Page 4
Q6 How close was your earlier guess? Discuss.
Answer. It was quite close.
Page : 148 , Block Name : Check Your Guess
Q7 What is the area of the rectangle?
Answer. 35 X 5 = 175 square cm
Page : 148 , Block Name : Check Your Guess
Q8 What is the perimeter of the rectangle?
Answer. Perimeter = 2(14 + 10)
= 2 X 24
= 48 cm.
Page : 148 , Block Name : Check Your Guess
Q1 Arbaz plans to tile his kitchen oor with green square tiles. Each side of the tile is 10 cm. His
kitchen is 220 cm in length and 180 cm wide. How many tiles will he need?
Answer. Area of oor = l X b
= 220 X 180
= 39600 square cm
Area of tile = side X side
= 10 X 10
= 100 square cm
No. of tiles = 39600 /100
= 396 tiles
Page : 148 , Block Name : Practice Time
Q2 The fencing of a square garden is 20 m in length. How long is one side of the garden?
Answer. Perimeter of Garden = 20 m
So, 4 side = 20
1 side = 20/4
1 side = 5 cm
Page : 148 , Block Name : Practice Time
Q3 A thin wire 20 centimeters long is formed into a rectangle. If the width of this rectangle is 4
centimeters, what is its length?
Answer. It was quite close.
Page : 148 , Block Name : Check Your Guess
Q7 What is the area of the rectangle?
Answer. 35 X 5 = 175 square cm
Page : 148 , Block Name : Check Your Guess
Q8 What is the perimeter of the rectangle?
Answer. Perimeter = 2(14 + 10)
= 2 X 24
= 48 cm.
Page : 148 , Block Name : Check Your Guess
Q1 Arbaz plans to tile his kitchen oor with green square tiles. Each side of the tile is 10 cm. His
kitchen is 220 cm in length and 180 cm wide. How many tiles will he need?
Answer. Area of oor = l X b
= 220 X 180
= 39600 square cm
Area of tile = side X side
= 10 X 10
= 100 square cm
No. of tiles = 39600 /100
= 396 tiles
Page : 148 , Block Name : Practice Time
Q2 The fencing of a square garden is 20 m in length. How long is one side of the garden?
Answer. Perimeter of Garden = 20 m
So, 4 side = 20
1 side = 20/4
1 side = 5 cm
Page : 148 , Block Name : Practice Time
Q3 A thin wire 20 centimeters long is formed into a rectangle. If the width of this rectangle is 4
centimeters, what is its length?
Page 5
Answer. Perimeter = 20 cm
Width = 4 cm
Perimeter of rectangle = 20
2 (l + b) = 20
2 (l + 4) = 20
l + 4 = 20/4
l = 10 – 4
l = 6 cm.
Page : 148 , Block Name : Practice Time
Q4 A square carrom board has a perimeter of 320 cm. How much is its area?
Answer. Perimeter = 320 cm
First, we need to nd the side of a square.
So, Perimeter = 320
4 X side = 320
Side = 320/4
Side = 80 cm.
Area = side X side
Area = 80 X 80
Area = 6400 square cm.
Page : 149 , Block Name : Practice Time
Q5 How many tiles like the triangle given here will t in the white design?
Answer. The Design required 6 triangles
Area of design = 6 X ½ = 3 square cm
Make your own design with 6 square cm and 4 square cm
Area of 4 square cm = 4 X 2 = 8 triangles.
Area of 6 square cm = 6 X 2 = 12 triangles.
Page : 149 , Block Name : Practice Time
Q6 Sanya, Aarushi, Manav, and Kabir made greeting cards. Complete the table for their cards:
Answer.
Take a thick paper sheet of length 14 cm and width 9 cm. You can also use an old postcard.
Page : 149 , Block Name : Practice Time
Width = 4 cm
Perimeter of rectangle = 20
2 (l + b) = 20
2 (l + 4) = 20
l + 4 = 20/4
l = 10 – 4
l = 6 cm.
Page : 148 , Block Name : Practice Time
Q4 A square carrom board has a perimeter of 320 cm. How much is its area?
Answer. Perimeter = 320 cm
First, we need to nd the side of a square.
So, Perimeter = 320
4 X side = 320
Side = 320/4
Side = 80 cm.
Area = side X side
Area = 80 X 80
Area = 6400 square cm.
Page : 149 , Block Name : Practice Time
Q5 How many tiles like the triangle given here will t in the white design?
Answer. The Design required 6 triangles
Area of design = 6 X ½ = 3 square cm
Make your own design with 6 square cm and 4 square cm
Area of 4 square cm = 4 X 2 = 8 triangles.
Area of 6 square cm = 6 X 2 = 12 triangles.
Page : 149 , Block Name : Practice Time
Q6 Sanya, Aarushi, Manav, and Kabir made greeting cards. Complete the table for their cards:
Answer.
Take a thick paper sheet of length 14 cm and width 9 cm. You can also use an old postcard.
Page : 149 , Block Name : Practice Time
Page 6
Q1 What is its area? What is its perimeter?
Answer. Area of rectangle = l X b
= 14 X 9
= 126 square cm
Perimeter = 2(l + b)
= 2(14 + 9)
= 2 X 23
= 46 cm
Page : 149 , Block Name : My Belt Is Longest!
Q2 Now cut strips of equal sizes out of it.
Answer. we cut the 8 strips in equal length
= 8 X 14
= 112 cm
we cut the 6 strips in equal length
= 6 X 14
= 84 cm
we cut the 4 strips in equal length
= 4 X 14
= 56 cm
Page : 149 , Block Name : My Belt Is Longest!
Q3 How long is your belt? What is its perimeter? Whose belt is the longest in the class?
Answer. The Perimeter of belt = 2(l + b)
= 2(56 + 4)
= 2 X 60
= 120 cm
Page : 150 , Block Name : My Belt Is Longest!
Q1 Why did some of your friends get longer belts than others?
Answer. Because they made from thin strips.
Page : 150 , Block Name : Discuss
Q2 Is the area of your belt the same as the area of the postcard? Why or why not?
Answer. Area of rectangle = l X b
= 14 X 9
= 126 square cm
Perimeter = 2(l + b)
= 2(14 + 9)
= 2 X 23
= 46 cm
Page : 149 , Block Name : My Belt Is Longest!
Q2 Now cut strips of equal sizes out of it.
Answer. we cut the 8 strips in equal length
= 8 X 14
= 112 cm
we cut the 6 strips in equal length
= 6 X 14
= 84 cm
we cut the 4 strips in equal length
= 4 X 14
= 56 cm
Page : 149 , Block Name : My Belt Is Longest!
Q3 How long is your belt? What is its perimeter? Whose belt is the longest in the class?
Answer. The Perimeter of belt = 2(l + b)
= 2(56 + 4)
= 2 X 60
= 120 cm
Page : 150 , Block Name : My Belt Is Longest!
Q1 Why did some of your friends get longer belts than others?
Answer. Because they made from thin strips.
Page : 150 , Block Name : Discuss
Q2 Is the area of your belt the same as the area of the postcard? Why or why not?
Page 7
Answer. Area of the belt of 4 cm = l X b
= 4 X 56
= 224 Square
No, it is not equal to the postcard.
Page : 150 , Block Name : Discuss
Q3 What will you do to get a longer belt next time?
Answer. I will make belt by thin strips.
Page : 150 , Block Name : Discuss
Q1 Can you think of how to cut a postcard so that you can pass through it? (See photo.) If you
have tried hard enough and still not got it… look for the answer somewhere ahead.
Answer. Yes
Page : 150 , Block Name : Puzzle Pass Through A Postcard
Q1 A) You can play this game on a ground. Make two squares of one square meter each. Divide
your class into two teams. Ready to play!
How many of you can sit in one square meter?
Answer. Three
Page : 151 , Block Name : People People Everywhere
Q2 How many of you can stand in it?
Answer. Four
Page : 151 , Block Name : People People Everywhere
Q3 Which team could make more children stand in their square? How many?
Answer. Team A
Page : 151 , Block Name : People People Everywhere
Q4 Which team could make more children sit in their square? How many?
Answer. Team A can make Four Children.
The measure of equal to that in which children easily sit there.
= 4 X 56
= 224 Square
No, it is not equal to the postcard.
Page : 150 , Block Name : Discuss
Q3 What will you do to get a longer belt next time?
Answer. I will make belt by thin strips.
Page : 150 , Block Name : Discuss
Q1 Can you think of how to cut a postcard so that you can pass through it? (See photo.) If you
have tried hard enough and still not got it… look for the answer somewhere ahead.
Answer. Yes
Page : 150 , Block Name : Puzzle Pass Through A Postcard
Q1 A) You can play this game on a ground. Make two squares of one square meter each. Divide
your class into two teams. Ready to play!
How many of you can sit in one square meter?
Answer. Three
Page : 151 , Block Name : People People Everywhere
Q2 How many of you can stand in it?
Answer. Four
Page : 151 , Block Name : People People Everywhere
Q3 Which team could make more children stand in their square? How many?
Answer. Team A
Page : 151 , Block Name : People People Everywhere
Q4 Which team could make more children sit in their square? How many?
Answer. Team A can make Four Children.
The measure of equal to that in which children easily sit there.
Page 8
B) Measure the length of the oor of your classroom in meters. Also, measure the width.
Page : 151 , Block Name : People People Everywhere
Q5 What is the area of the oor of your classroom in square meters?
Answer. area of Floor = l X b
= 10 X 8 = 80 square cm
Page : 151 , Block Name : People People Everywhere
Q6 How many children are there in your class?
Answer. 40 Children
Page : 151 , Block Name : People People Everywhere
Q7 So how many children can sit in one square meter?
Answer. no. children = 80/40 = 2.
Page : 151 , Block Name : People People Everywhere
Q8 If you want to move around easily then how many children do you think should be there in one
square meter?
Answer. Two Children.
Page : 151 , Block Name : People People Everywhere
Q9 Can you imagine how big a square of side 1 km is! It has an area of ______ square km. Guess
how many people can live on that
Answer. Area of square = (X)
= 1 square km.
1000 people can live on that.
Page : 152 , Block Name : People People Everywhere
Q1 Can you divide the land equally? Show how you will divide it. Remember each person has to
get a tree. Colour each person’s piece of land differently.
Answer. Total no. of boxes = 90
Hence, a person share = 90/3 = 30 cm.
Page : 151 , Block Name : People People Everywhere
Q5 What is the area of the oor of your classroom in square meters?
Answer. area of Floor = l X b
= 10 X 8 = 80 square cm
Page : 151 , Block Name : People People Everywhere
Q6 How many children are there in your class?
Answer. 40 Children
Page : 151 , Block Name : People People Everywhere
Q7 So how many children can sit in one square meter?
Answer. no. children = 80/40 = 2.
Page : 151 , Block Name : People People Everywhere
Q8 If you want to move around easily then how many children do you think should be there in one
square meter?
Answer. Two Children.
Page : 151 , Block Name : People People Everywhere
Q9 Can you imagine how big a square of side 1 km is! It has an area of ______ square km. Guess
how many people can live on that
Answer. Area of square = (X)
= 1 square km.
1000 people can live on that.
Page : 152 , Block Name : People People Everywhere
Q1 Can you divide the land equally? Show how you will divide it. Remember each person has to
get a tree. Colour each person’s piece of land differently.
Answer. Total no. of boxes = 90
Hence, a person share = 90/3 = 30 cm.
Page 9
Page : 152 , Block Name : Share The Land
Q2 If each square on this page is equal to 1 square meter of land, how much land will each of her
children get? ________ square m
Answer. 30 square m
Page : 153 , Block Name : Share The Land
Q3 Chumki, Jhumri, and Imran need wire to make a fence. Who will need the longest wire for
fencing?
Answer. perimeter of Chumki wire = 9 + 2 + 3 + 2 + 6 + 4 = 26 m,
Perimeter of Jumri’s wire = 6 + 3 + 2 + 3 + 4 + 6 = 24m,
Perimeter of Imran’s wire = 8 + 5 + 3 + 2 + 5 + 3 = 26m
Page : 153 , Block Name : Share The Land
Q4 Who will need the longest wire for fencing?
Answer. Missing
Page : 153 , Block Name : Share The Land
Q5 How much wire in all will the three needs?
Answer. 24 + 26 + 26 = 76m
Page : 153 , Block Name : Share The Land
Q1 Which shape has the biggest area? How much? What is the perimeter of this shape?
Answer. Shape of P has the biggest area.
1
Area =(9 + 2 × + 7)
2
= 17 square cm
Page : 155 , Block Name : Thread Play
Q2 What is the perimeter of this shape?
Answer. perimeter of shape = 15 cm.
Page : 155 , Block Name : Thread Play
Q2 If each square on this page is equal to 1 square meter of land, how much land will each of her
children get? ________ square m
Answer. 30 square m
Page : 153 , Block Name : Share The Land
Q3 Chumki, Jhumri, and Imran need wire to make a fence. Who will need the longest wire for
fencing?
Answer. perimeter of Chumki wire = 9 + 2 + 3 + 2 + 6 + 4 = 26 m,
Perimeter of Jumri’s wire = 6 + 3 + 2 + 3 + 4 + 6 = 24m,
Perimeter of Imran’s wire = 8 + 5 + 3 + 2 + 5 + 3 = 26m
Page : 153 , Block Name : Share The Land
Q4 Who will need the longest wire for fencing?
Answer. Missing
Page : 153 , Block Name : Share The Land
Q5 How much wire in all will the three needs?
Answer. 24 + 26 + 26 = 76m
Page : 153 , Block Name : Share The Land
Q1 Which shape has the biggest area? How much? What is the perimeter of this shape?
Answer. Shape of P has the biggest area.
1
Area =(9 + 2 × + 7)
2
= 17 square cm
Page : 155 , Block Name : Thread Play
Q2 What is the perimeter of this shape?
Answer. perimeter of shape = 15 cm.
Page : 155 , Block Name : Thread Play
Page 10
Q3 Which shape has the smallest area? How much?
Answer. Shape Q has the smallest area
Page : 155 , Block Name : Thread Play
Q4 What is the perimeter of this shape?
Answer.
1
Area of square = (9 + 0 × + 7)
2
= 16 square cm.
1
Area of rectangle = (10 + 5 × + 0)
2
= 12 square cm.
Page : 155 , Block Name : Thread Play
Q1 How many cms are the length of the boundary of lake A in the drawing?
Answer. 33 cm
Page : 156 , Block Name : Save The Birds
Q2 What is the length of the boundary of lake B in the drawing?
Answer. 26 cm.
Page : 156 , Block Name : Save The Birds
Q3 How many kilometers long is the actual boundary of lake A?
Answer. 33 km 14 m
Page : 156 , Block Name : Save The Birds
Q4 How many kilometers long is the actual boundary of lake B?
Answer. 26 km.
Page : 156 , Block Name : Save The Birds
Q5 A longer boundary around the lake will help more birds to lay their eggs. So which lake should
Answer. Shape Q has the smallest area
Page : 155 , Block Name : Thread Play
Q4 What is the perimeter of this shape?
Answer.
1
Area of square = (9 + 0 × + 7)
2
= 16 square cm.
1
Area of rectangle = (10 + 5 × + 0)
2
= 12 square cm.
Page : 155 , Block Name : Thread Play
Q1 How many cms are the length of the boundary of lake A in the drawing?
Answer. 33 cm
Page : 156 , Block Name : Save The Birds
Q2 What is the length of the boundary of lake B in the drawing?
Answer. 26 cm.
Page : 156 , Block Name : Save The Birds
Q3 How many kilometers long is the actual boundary of lake A?
Answer. 33 km 14 m
Page : 156 , Block Name : Save The Birds
Q4 How many kilometers long is the actual boundary of lake B?
Answer. 26 km.
Page : 156 , Block Name : Save The Birds
Q5 A longer boundary around the lake will help more birds to lay their eggs. So which lake should
Page 11
be kept for birds? Which lake should be used for boats?
Answer. Lake A should be kept for birds and lake B should be used for boats.
Page : 156 , Block Name : Save The Birds
Q6 Find the area of lake B on the drawing in square cm. What is its actual area in square km?
Answer.
1
Solution: Area of lake B = (15 + 3 × + 8)
2
= 24.5 square cm.
Page : 157 , Block Name : Save The Birds
Q1 What is its area? Is it more than the rst rectangle?
Answer. Area of rectangle = l X b
= 30 X 20
600 square m.
Yes, it is more than the rst rectangle
Page : 157 , Block Name : Kings Story
Q2 What other rectangles can he make with 100 meters of wire? Discuss which of these rectangles
will have the biggest area.
Answer. These are the following rectangles:
5 X 45 = 225 square m
15 X 35 = 525 square m
25 X 25 = 625 square m.
The third one has the biggest area.
Page : 157 , Block Name : Kings Story
Q3 Why did Cheggu not choose a rectangle? Explain.
Answer. Because none of the rectangles have an area of 800 sqm.
Page : 157 , Block Name : Kings Story
Q4 He made rectangles A, B, and C of different sizes. Find out the length of the boundary of each.
How much gold wire will he get for these rectangles?
Answer. Lake A should be kept for birds and lake B should be used for boats.
Page : 156 , Block Name : Save The Birds
Q6 Find the area of lake B on the drawing in square cm. What is its actual area in square km?
Answer.
1
Solution: Area of lake B = (15 + 3 × + 8)
2
= 24.5 square cm.
Page : 157 , Block Name : Save The Birds
Q1 What is its area? Is it more than the rst rectangle?
Answer. Area of rectangle = l X b
= 30 X 20
600 square m.
Yes, it is more than the rst rectangle
Page : 157 , Block Name : Kings Story
Q2 What other rectangles can he make with 100 meters of wire? Discuss which of these rectangles
will have the biggest area.
Answer. These are the following rectangles:
5 X 45 = 225 square m
15 X 35 = 525 square m
25 X 25 = 625 square m.
The third one has the biggest area.
Page : 157 , Block Name : Kings Story
Q3 Why did Cheggu not choose a rectangle? Explain.
Answer. Because none of the rectangles have an area of 800 sqm.
Page : 157 , Block Name : Kings Story
Q4 He made rectangles A, B, and C of different sizes. Find out the length of the boundary of each.
How much gold wire will he get for these rectangles?
Page 12
Answer. The king fainted because he could not able to change more gold.
Page : 158 , Block Name : Kings Story
Q5 Can you make a rectangle with a still longer boundary? I made a rectangle 1 cm wide and
80000 m long. Imagine how long that boundary will be!!! With that much gold wire, I can become
the king!
Answer.
Perimeter = 2(1 + b)
= 2(8000 + 1cm)
1
= 2 (8000 + )
100
= 2(8000 + 0.01)
= 2(8000.01)
= 16000.02m
Page : 158 , Block Name : Kings Story
Page : 158 , Block Name : Kings Story
Q5 Can you make a rectangle with a still longer boundary? I made a rectangle 1 cm wide and
80000 m long. Imagine how long that boundary will be!!! With that much gold wire, I can become
the king!
Answer.
Perimeter = 2(1 + b)
= 2(8000 + 1cm)
1
= 2 (8000 + )
100
= 2(8000 + 0.01)
= 2(8000.01)
= 16000.02m
Page : 158 , Block Name : Kings Story
Document Details
| Board / Org | NCERT |
| Exam | Class 5 |
| Type | Solution |
| Pages | 12 |
| Updated | 30 Apr 2026 |