Class IV Maths Perimeter Tutorial School

SUBJECT-MATHEMATICS
CLASS-IV
TOPIC-PERIMETER

CHAPTER TEXT BOOK LINK
PERIMETER
https://s.docworkspace.com/d/AI66Z
SbYhNxF4eP9_MadFA

LEARNING OBJECTIVES:
Students will be able to
• Differentiate between closed and open figures.
• Distinguish closed figures made up of line segments.
• Understand the concept of perimeter.
• Calculate perimeter of closed shapes made up of only line segments.
• Calculate perimeter of rectangle and square using formula.
• Apply the concept of perimeter in their daily life situations.

INTRODUCTION
Can you tell the difference between these figures ?
Observe these figures

In left side figures the starting point and ending point are different.
These figures are called as Open Figures
Let’s sing !
Open figures are incomplete.
Scribble away figures on a sheet.
But the ends never meet.

In right side figures the starting point and ending point are same.
These figures are called as Closed Figures.
Let’s sing !
Closed figures are all complete
Circles, triangles and many more on a sheet
Look close! All their ends meet.

HERE ARE SOME CLOSED FIGURES
MADE UP OF ONLY LINE SEGMENTS

ART INTEGRATION
ACTIVITY-1
Make closed figures of line segments using matchsticks /
toothpicks/ice-cream sticks and play dough.

WHAT IS PERIMETER?
• The length of boundary of a closed figure is
called as its perimeter.
• We add all the sides of a closed figure to get its
perimeter.
WATCH THE VIDEO
https://www.youtube.com/watch?v=JAy_CETEyU
M&t=11s

How will you find the length of boundary
of this ludo board?
25cm
25cm
25cm
25cm
B
C
A
D
By adding all the sides
AB+BC+CD+DA
=25cm+25cm+25cm+25cm
=100cm
So, Perimeter of ludo board= 100cm

Perimeter = AB+BC+CD+DA
=5cm+1cm+2cm+4cm
=12cm
Perimeter
= 1cm+ 2cm+4cm+3cm+2cm+2cm
=14cm
(Why are you not adding 5cm? Think!)
EXAMPLES

Find the perimeter of the following figures:

ACTIVITY-2
SELF MADE VIDEO
https://www.youtube.com/watch?v=N2wiNh4b8k
M&feature=youtu.be
Find the perimeter of
• Your bedroom floor.
• Top surface of your study table.
• A photo frame.
• A handkerchief.
• Cover page of a story book.

WHAT IS A RECTANGLE?
A rectangle has
• 4 sides
• 4 right angles
• 4 corners
• Opposite sides of a rectangle are equal

PERIMETER OF A RECTANGLE
Perimeter
= l+b+l+b
= l+l+b+b
=2×l+2×b
Length (l)
Length (l)
Breadth (b) Breadth (b)

EXAMPLE
Q. Find the perimeter of the given figure. (2
marks)
Ans-Length=9cm
Breadth=5cm
Perimeter=2×l+2×b
=2×9cm+2×5cm (0.5 mark)
=18cm+10cm (0.5 mark)
=28cm (1 mark)

Find the perimeter of the following
rectangles

WHAT IS A SQUARE?
A square has
• 4 sides
• 4 right angles
• 4 corners
• All the sides of a square are
equal

PERIMETER OF A SQUARE
Perimeter
= side+side+side+side
=4× side
Side
Side
Side
Side
Ex- Find the perimeter of a square
whose each side is 12cm.
Ans-
Side=12cm
Perimeter=4×side
=4×12cm
=48cm

Find the perimeter of the following
squares.

WHAT IS A TRIANGLE?
A triangle has
• 3 sides, 3 angles and 3 corners
Perimeter of a triangle:
All these triangles may not look
similar but for finding perimeter of
each one the rule is same.
Rule-
Perimeter of a triangle
= Sum of its 3 sides

Find the perimeter:
Perimeter of the triangle
= AB+BC+CA
=5cm+7cm+8cm
=20cm

Find the perimeter of the following triangles.

WORD PROBLEMS
Ex-1: Mita has 155cm of lace. She wants to stitch it around the border of a square
sized cloth. If each side of the cloth measures 37cm, find the length of lace left with
her. (3 marks)
Ans- Length of lace Mita has = 155cm
Side of cloth = 37cm
Perimeter of cloth = 4×side (0.5 mark)
= 4×37cm (0.5 mark)
=148cm (1 mark)
Length of the cloth left with her = 155cm- 148cm = 7cm (1mark)
Therefore, 7cm of lace is left with her.

Ex-2 Rohan ran around a rectangular field of length 28 m and breadth 24m
thrice. Find the total distance ran by him. (4 marks)
Ans- Length of the field= 28m
Breadth of the field=24m
Perimeter= 2×l+2×b (0.5 mark)
= 2×28m + 2×24m (0.5 mark)
= 56m+ 48m (0.5 mark)
=104m (1 mark)
Total distance ran by him= 3× 104m = 312m (1.5mark)
Therefore, the total distance ran by him is 312m.

ART INTEGRATION
ACTIVITY-3
Materials required-
Square sheet/ graph paper and
drawing materials( pencil, eraser,
color etc)
Steps-
• Draw a figure of your own choice
on a square sheet using the
horizontal and vertical lines.
• Count the side of each square of
the border lines as 1 unit to get the
perimeter of the figure.

Perimeter=2×l + 2×b
= 2×10m + 2×5m
=20m + 10m = 30m

LIVE EXAMPLES RELATED TO THE CONCEPT
• Frame required for framing a photo.
• Stitching lace around a saree.
• Fencing a Vegetable field with wire.
• Decorating a chart paper by putting colorful cello tape around it.
• The distance covered after running 1 round around a park.
• Putting tiles around a swimming pool.
• Fitting door and window into door and window frames.
• Putting yarn around the border of a greeting card.
WATCH THE VIDEO
https://www.youtube.com/watch?v=efTBMoAav9o

LEARNING OUTCOMES
After completion of the chapter students
Can calculate the perimeter of rectangle, square,
triangle and other closed shapes made up of line
segments.
Can solve the word problems related to perimeter.
Can relate the concept of perimeter in their daily life
situations.
 Can apply the concept of perimeter in their day
today life activities.

CONCEPT MAP:
P
Perimeter
We can find perimeter of a
closed figure made up of only
line segments by adding its
sides.
Perimeter of a
rectangle
=2×l+2×b
Perimeter of a
square= 4×side
Perimeter of a
triangle is sum of
it’s three sides.
We apply the concept
of perimeter in many
real world uses.

SUBJECT- MATHEMATICS
CLASS-IV PERIMETER
WORKSHEET-1(BASIC)
1. The figure having same starting point and ending point is known as ________.
2. A figure having different starting point and ending point is known as _______.
3. The length of a boundary of a closed figure is called the ____________ of the closed figure.
4. If you have to build a fence around your backyard, we have to measure the ___________ of the back yard.
5. The perimeter of a square having side 4cm is _______________cm.
6. Perimeter of a triangle having sides 2m, 3m and 5m is ____________m.
7. Perimeter of a rectangle whose length is 20cm and breadth is 12cm is ______cm.
8. The _________________ faces in a rectangle are equal.
9. A triangle has _______________ sides.
10. ______________ faces in a square are equal.
11. Perimeter of a ______________ is the sum of its three sides.
12. Perimeter of a square= 4×_____________.
13. Perimeter of a rectangle =2×B + 2×__________.
14. Perimeter of a triangle whose all sides are equal=3×____________.
15. Perimeter of a square having side 6mm is _____________mm.

16. Find the perimeter of a rectangle whose length is 15m and breadth is 8m.
17. Find the perimeter of a square with each side 40m.
18. What will be the perimeter of a rectangle which is 20m long and 15m wide?
19. Find the perimeter of a rectangle whose dimensions are given below.
Length =12m and Breadth=7m
20. Find the perimeter of a triangle whose sides are 10m, 15m and 20m respectively.
21. Find the perimeter of a triangle with each side 18 cm?
22. Find the perimeter of a rectangle whose two sides are 9m and 14m.
23. Find the perimeter of a square having each side 5m and convert the perimeter into
centimeters.
24. Find the length of lace required for the border of a rectangular handkerchief which is
30 cm long and 20 cm wide.

25. Rahul is jogging around a rectangular garden whose length is 10m and breadth is 5m.
Find the distance travelled by him in completing one round of that garden.
26. Sumesh has to fence a triangular field with wire. Find the length of wire required by
him, if the sides of that field are 8m, 10 m and 12m respectively.
27. Swetha has a swimming pool whose surface is in the shape of a square. Each side of the
surface is 18m. Find the distance covered by a person to complete one round of that
swimming pool.
28. Mrs. Das covers two rounds of a temple daily which path is in the shape of a square.
Find the distance covered by her daily if each side of the path is 100m.
29. A farmer needs to fence his field of length18m and breadth 16m using rope. Find the
length of rope he will need to fence his field.
30. Mr Mahesh has to fence a square garden of side 25m. If the fencing costs Rs. 300 per
metre, then find the amount of money does he need to fence that garden.

CLASS-IV PERIMETER
WORKSHEET-2(STANDARD)
1. The perimeter of a square field having each side 25cm is _____________cm.
2. Measurement of boundary is known as ____________________.
3. We can measure the perimeter of a __________________ figure.
4. The perimeter of a rectangle whose length is 16 m and breadth is 6 m is _____________m.
5. Perimeter of a triangle whose each side is 9cm is ________________cm.
6. Find the perimeter of a rectangle having breadth 7m and length 29m.
7. Find the perimeter of a square field having each side 35m.
8. Find the perimeter of a rectangle whose length is 17m and breadth is 5m less than the length.
9. Find the perimeter of a rectangle whose length is double its breadth and breadth is 8cm.
10. Find the perimeter of a rectangular photo frame whose breadth is 15m and length is 10m more than the
breadth.
11. Find the perimeter of a square whose each side is 5m and 50 cm.

12. Find the distance around a rectangular table of length 50 m and width 20m.
13. Find the perimeter of a square whose one side is given as 18m.
14. Find the distance around a rectangular path which is 10m long and 6m wide.
15. Find the perimeter of a square, if each side of the square is 58m.
16. Find the length of each side of a square whose perimeter is 400m.
17. Compare the perimeter of a rectangle of length 13m and breadth 6m with a square having each
side 10m.
18. Find the length of the barbed wire required to go around 2 times a triangular garden of sides 10m,
12m and 22m respectively.
19. Mr Mahesh has to fence a rectangular garden of length 20m and breadth 14m. Find the cost of
fencing if it costs Rs. 25 per metre.
20. Seema had 25m ribbon. She had to put lace on the border of a square rectangular saree of 6m long
and 3m wide. Find the length of ribbon left with her after putting lace on the border of that saree.

CLASS-IV PERIMETER
WORKSHEET-3(ADVANCED)
1. The length of each side of a square having perimeter 200cm is __________.
2. 2. Find the perimeter of a rectangle with l=12cm 5 mm and b= 56mm.
3. 3. Find the perimeter of a square whose each side measures half of 36cm
4. 4. The length of a bed sheet is 200m and its breadth is 67cm less than its length. Find the
perimeter of the bed sheet.
5. 5. Find the perimeter of the given figure:

6. Neena walked 4times around a square Park with each side 27m. Find the distance
covered by her.
7. Mr. Gupta wants to fence his rectangular garden with length=16m and breadth=14m. If
the cost of fencing is RS.235 per m, then find the amount of money he will need for fencing.
8. Riya walked around a square garden having each side 25m. Suman walked around a
rectangular garden having length=30m and breadth=22m. Who walked more distance and by
how much?’
9. Find the perimeter of a table top whose breadth is 94 cm and length is 2 times of its
breadth.
10. Hema is advised by a doctor to walk 1kms daily for her good health. She started jugging
around a rectangular park whose length is 130m and breadth is 120 m. she completes one
round in the morning and one round in the evening of that park. Is she fulfilling the advice of
the doctor completely?

Class IV Maths Perimeter Tutorial School

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