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 Page 1


Perimeter and 
Area
Page 2


Perimeter and 
Area
Understanding Perimeter
1
Definition
The perimeter of a closed 
plane figure is the total 
distance around its 
boundary when you go all 
the way around it once.
2
For Polygons
For a polygon, which is a 
closed shape made up of 
straight line segments, the 
perimeter is simply the 
sum of the lengths of all its 
sides.
3
Formula
Perimeter of a polygon = Sum of the lengths of all its sides.
Page 3


Perimeter and 
Area
Understanding Perimeter
1
Definition
The perimeter of a closed 
plane figure is the total 
distance around its 
boundary when you go all 
the way around it once.
2
For Polygons
For a polygon, which is a 
closed shape made up of 
straight line segments, the 
perimeter is simply the 
sum of the lengths of all its 
sides.
3
Formula
Perimeter of a polygon = Sum of the lengths of all its sides.
Perimeter of Rectangles 
and Squares
Rectangle
Perimeter of a rectangle = 2 × 
(length + breadth)
Example: A rectangular garden 
12 cm long and 8 cm wide would 
have a perimeter of 2 × (12 cm + 
8 cm) = 2 × 20 cm = 40 cm of 
fencing needed.
Square
Perimeter of a square = 4 × 
length of a side
Example: A square photo frame 
with sides 1 meter long would 
need 4 × 1 m = 4 m of colored 
tape to go around its edges.
Page 4


Perimeter and 
Area
Understanding Perimeter
1
Definition
The perimeter of a closed 
plane figure is the total 
distance around its 
boundary when you go all 
the way around it once.
2
For Polygons
For a polygon, which is a 
closed shape made up of 
straight line segments, the 
perimeter is simply the 
sum of the lengths of all its 
sides.
3
Formula
Perimeter of a polygon = Sum of the lengths of all its sides.
Perimeter of Rectangles 
and Squares
Rectangle
Perimeter of a rectangle = 2 × 
(length + breadth)
Example: A rectangular garden 
12 cm long and 8 cm wide would 
have a perimeter of 2 × (12 cm + 
8 cm) = 2 × 20 cm = 40 cm of 
fencing needed.
Square
Perimeter of a square = 4 × 
length of a side
Example: A square photo frame 
with sides 1 meter long would 
need 4 × 1 m = 4 m of colored 
tape to go around its edges.
Perimeter of a Triangle
Formula
Perimeter of a triangle = sum 
of the lengths of its three 
sides.
Example
For a triangle with sides 4 
cm, 5 cm, and 7 cm long, the 
perimeter would be 4 cm + 5 
cm + 7 cm = 16 cm.
Application
This calculation is useful when determining materials needed for 
triangular structures or decorations.
Page 5


Perimeter and 
Area
Understanding Perimeter
1
Definition
The perimeter of a closed 
plane figure is the total 
distance around its 
boundary when you go all 
the way around it once.
2
For Polygons
For a polygon, which is a 
closed shape made up of 
straight line segments, the 
perimeter is simply the 
sum of the lengths of all its 
sides.
3
Formula
Perimeter of a polygon = Sum of the lengths of all its sides.
Perimeter of Rectangles 
and Squares
Rectangle
Perimeter of a rectangle = 2 × 
(length + breadth)
Example: A rectangular garden 
12 cm long and 8 cm wide would 
have a perimeter of 2 × (12 cm + 
8 cm) = 2 × 20 cm = 40 cm of 
fencing needed.
Square
Perimeter of a square = 4 × 
length of a side
Example: A square photo frame 
with sides 1 meter long would 
need 4 × 1 m = 4 m of colored 
tape to go around its edges.
Perimeter of a Triangle
Formula
Perimeter of a triangle = sum 
of the lengths of its three 
sides.
Example
For a triangle with sides 4 
cm, 5 cm, and 7 cm long, the 
perimeter would be 4 cm + 5 
cm + 7 cm = 16 cm.
Application
This calculation is useful when determining materials needed for 
triangular structures or decorations.
Perimeter of Shapes on 
Grid Lines
Grid 
Measurement
When shapes are 
created on grid lines, 
we count both 
straight and diagonal 
lines to find the 
perimeter.
Straight Lines
These run 
horizontally or 
vertically on the grid 
and are counted as 
regular units.
Diagonal Lines
These connect 
points diagonally, 
making slanted lines 
that are counted 
separately.
For example, the letter "F" shown on a grid has 16 straight lines and 
3 diagonal lines, giving a total perimeter of 19 units.
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