1. Perimeter of combined figures

2. Recap - Shape and Formula
Shapes Perimeter formula
Square
Perimeter of Square(P) = 4 x S
S- Side length.
Rectangle
Perimeter of Rectangle (P) = 2 ( l + b )
l - Length and b - breadth
Triangle
Perimeter of triangle (P) = sum of 3 sides
P = a + b + c
a, b and c are length of sides

3. Shapes Perimeter formula
Circle
Perimeter of circle(P) = 2πr
r - radius of circle
Semicircle
Perimeter of Semicircle (P) =πr+2r
r - radius of circle
Quadrant circle
Perimeter of Quadrant circle
(P) =

4. Examples for Perimeter
Questions Answers
Perimeter of Square P = ?
Perimeter of Square (P)=4 x S
P = 4 X 5 (S=5cm)
Ans: P = 20 cm
Perimeter of Rectangle P = ?
Perimeter of Rectangle (P) = 2(l+b)
P = 2 (7 + 4 ) (l=7cm, b=4cm)
P = 2 * 11
Ans: P = 22 cm
Perimeter of Triangle P= ?
Perimeter of triangle (P) = sum of 3 sides
P =
Ans : P = 12 cm

5. Questions Answers Perimeter of Circle P = ?
Perimeter of circle (P) = 2πr
Given, r = 4
P = 2 * (π = 3.14, r =4 )
P =
Ans: P = cm
Perimeter of Semicircle (P) = πr+2r
Given d=6 ,  r=d/2= 6/2= 3
P = 3.14 * * (π = 3.14,r=3 )
P =
Ans: P=15.42 cm
Perimeter of Semicircle P=?
Perimeter of Quadrant circle P=?
Perimeter of Quadrant circle (P) = Given r = 2 P= P=
Ans: P= 6.14

6. Example 1: Find the perimeter of the following Combined figure.
Solution:
We know perimeter of combined shapes is the sum of all the outer sides
Step 1: Find all the missing sides
Given BC=4cm,CD=8cm
and AE=DE=AD
From the figure we can see ABCD is a rectangle
∴ BC=AD= 4cm and CD=AB=8cm (∵ In a rectangle length and breath are same)
∴ AE=4cm , DE=4m (Given AE=DE=AD)
Step 2: Perimeter of Combined figure = sum of all the outer side
= AB + BC + CD + DE + EA =
= 28 cm
Ans : Perimeter of Combined figure = 28 cm

7. Example 2: Find the perimeter of the following Combined figure.
Solution:
We know perimeter of combined shapes is the sum, of all the outer
sides
Step 1: Find all the missing sides
Given, Side of triangle AB = 5 cm, AD= 4 cm and BD = 6 cm
From the figure we can see BCD is a semicircle. we need to find length of arc
Step 2 : length of = πr
Given d=6cm (BD)  r = d/2 = 6/2= 3 cm
length of = (π= and r=3)
length of
(By using Perimeter of semi circle formula )
(Given radius value)

8. Step 3: Perimeter of Combined figure = sum of all the outer side
= AB DA =
Ans : Perimeter of Combined figure = 18.4 m

9. Example 3 : Find the perimeter of the following combined figure.
Solution:
We know perimeter of combined shapes is the sum of all the outer sides
Step 1: Find all the missing side
From the figure we can see BCEF is a rectangle
Given, side of rectangle BC = EF = 12 cm and BF= CE= 7 cm
(∵ In a rectangle length and breadth are same).
From the figure we can see BAF and CDE is a quadrant.
AB=BF= 7 cm and CD=CE= 7 cm. (∵ radius of quadrant r = 7 cm)
we need to find length of arc and We need apply the quadrant formula.

10. Step 2 : length of = (π= and r=7)
By using Perimeter of quadrant formula
Step 3: Perimeter of Combined figure = sum of all the outer side
= AB + BC + CD EF + =
Ans : Perimeter of Combined figure = 60 cm

11. Try these 1. Find the perimeter of the following Combined figure.