Area and perimeter

1. APEX INSTITUTE OF MGMT.
STUDIES AND RESEARCH
TOPIC:- AREA AND
PERIMETER
Presented By,
Roll No.:- E2209310017
B.Ed II Year
Session:- 2022-2023
Subject:- Mathematics

2. AREA
 Area is the region occupied by a shape.
 The space covered by the figure or any two-
dimensional geometric shape, in a plane, is the area of
the shape.
 The area of all the shapes depends upon their
dimensions and properties.
 Different shapes have different areas.
 Area is measured in square units (m2, cm2, in2, etc.)

3. PERIMETER
 Perimeter is total distance covered by the boundary
of a shape.
 A perimeter is a total distance that encompasses a
shape, in a 2d plane.
 Perimeter is measured in units (m, cm, in, feet, etc.)

4. Perimeter of a rectangle
length
width
length
width
= length + width
+ length + width
lawn
5 m
3 m
= 5 + 3 + 5 + 3
Perimeter of this lawn
= 16 m
The perimeter of a shape is the total
length of its sides

5.  Perimeter of the house is equal to the length of the fence.

6. SQUARE
 A Square is a figure/shape with all four sides equal and
all angles equal to 90 degrees.
 The area of the square is the space occupied by the
square in a 2D plane and its perimeter is the distance
covered on the outer line.

7. AREA AND PERIMETER OF SQUARE
 Perimeter of a Square = 4a units
 Area of a Square = a2 sq. units
 Where a is the side of Square

8. EXAMPLE
 Example 1:Find the area and perimeter of a square
clipboard whose side measures 120 cm.
 Solution:
Side of the clipboard = 120 cm = 1.2 m
Area of the clipboard = side × side= 120 cm × 120
cm= 14400 sq. cm= 1.44 sq. m
 Perimeter = 4 × side = 4 × 120 = 480 cm
120 cm

9. RECTANGLE
 A rectangle is a figure/shape with opposite sides
equal and all angles equal to 90 degrees.
 The area of the rectangle is the space covered by it
in an XY plane.

10. page
21 cm
30 cm
= 30 × 21
Area of the page = 630
65 m
32 m
= 65 × 32 m2
Area of field = 2080
cm2
field
AREA AND PERIMETER OF RECTANGLE
Perimeter of a Rectangle = 2(l+b)
Area of rectangle = length × width
Area of Rectangle = l × b

11. 5.2 m
4.5 m
3 m
3 m
1.5 m
2.2 m
Area of
large rectangle = 5.2 × 4.5
= 23.4 m2
Area of
small rectangle = 2.2 × 1.5
= 3.3 m2
Total Area =23.4 -3.3 = 20.1 m2
To find the area and perimeter of this L-shaped
room
Perimeter = 3+2.2+3+1.5+3+5.2+4.5 = 19.4 m

12. AREA AND PERIMETER OF A PARALLELOGRAM
 Any side of a parallelogram can be considered as the
base of the parallelogram.
 The perpendicular drawn on that side from the opposite
vertex is known as height (altitude).
 Area of a Parallelogram = Base × Height
 Perimeter = 2(Side + Base)

13. EXAM
Example :

14.  The triangle has three sides.
• Perimeter of a triangle = a + b +c , where a, b and c are the
three different sides of the triangle.
AREA AND PERIMETER OF TRIANGLE

15. Find area of triangle:
Example:

16. AREA AND PERIMETER OF CIRCLE
Area of a Circle, A = πr2 square units
 Circumference (or) Perimeter of circle = 2πR

17. EXAMPLE :
Question: Find the circumference and the area of
circle if the radius is 7 cm.
Solution: Given: Radius, r = 7 cm
 We know that the circumference/ perimeter of the circle
is 2πr cm.
 Now, substitute the radius value, we get
 C = 2 × (22/7)× 7 = 2×22 = 44 cm
 Thus, the circumference of the circle is 44 cm.
 Now, the area of the circle is πr2 cm2
 A = (22/7) × 7 × 7 = 22 × 7= 154 cm2