Introduction of Area and Perimeter
In our everyday life, we come across a lot of objects of varying shapes and sizes, square, triangle, rectangle, sphere, circle, rhombus, and many others. Area and Perimeter give us valuable knowledge which helps us deal with these different forms of objects.
What are Area and Perimeter?
So, what is the meaning of Perimeter and Area?
Let us see how we can define Perimeter and Area in the mathematical sense before we head to solving problems. Before getting to the trickier part of the topic, we must strengthen our conceptual understanding of Area and Perimeter –
Area – Area helps in determining the boundaries of a twodimensional object or a plain. The term, “area” can be defined as the enclosed space within the frames of an object. This space is known as the Area of that particular shape.
Perimeter The sum total of the distance covered along the outer part of the shape gives us the Perimeter. Again, dimension plays a major role in this too as depending on the dimensions of the shapes, the Perimeter of different shapes can be equal to each other.
How Can We Calculate Area and Perimeter?
Now that we are clear on the area and perimeter meaning in math, let us see how we can calculate the Perimeter and Area of some of the most common shapes we encounter on a daily basis.
Area and Perimeter of a Square –
A square’s all four sides are equal in length and are at an identical angle if 90 degrees. Therefore, to measure the Area covered by the square and it’s Perimeter, these following are the formulae to be used –
Area – a2
Perimeter – 4a
Let’s take a as the length of the 4 sides.
Area and Perimeter of A Rectangle –
A rectangle is an elongated figure with its opposite sides matching in length and all the angles at an identical 90 degrees.
Rectangle’s Area – a×b
Rectangle’s Perimeter – 2(a+b)
Let a and b be the length and breadth respectively.
Area and Perimeter of the Triangle –
A triangle is made up of 3 sides. The Perimeter of a triangle is calculated by adding up the lengths of all 3 sides of the triangle.
Triangle’s Area ½ b×h, let b be the base and h be the height.
Triangle’s Perimeter – a +b + c where all three represent the 3 sides of a triangle.
Area and Circumference of a Circle –
The circle ‘s Perimeter is known as the circumference.
Circumference = 2πr
Area of Circle = πr2
Area And Perimeter Chart
The following chart contains all the formulas used to calculate the Area and Perimeter of different shapes in tabular data to make it easier for you to go through.
Shape 
Area 
Perimeter 
Terms 
Square 
a2 
4a 
a =length of all four sides 
Rectangle 
a × b 
2(a+b) 
a = length b= width 
Triangle 
½ b×h 
a + b+ c 
b= base h= height a, b, c are the 3 sides of a triangle respectively 
Circle 
πr2 
2πr 
r = represents the circle’s radius 
Here are some solved perimeter and area class 5 questions with answers for you to understand better –
Q. If the given radius of a circle is 21cm. Calculate its circumference and Area.
Solution:
Given, radius = 11cm
Therefore, Area = π × r2
A = 22/7 × 11 × 11
A = 380.28 sq.cm.
Circumference, C = 2πr
C = 2 x 22/7 x 11 = 69.14 cm
Example 2:
Q. If the given square’s side’s length is 4 cm. Then measure its Area and also calculate the Perimeter.
Solution:
We know, length of the side, a = 4 cm
Area = a2 = 42 = 16 sq.cm
Total length of its boundary, Perimeter = 4a = 4 x 4 = 16 sq.cm.
Example 3:
Q. A given rectangular field measures 20m in length and 30m in breadth. Calculate the Area and Perimeter.
Solution:
Given, Length = 20m
Width = 30m
Since, Area = length x breadth = 20 x 30 = 600 sq.m.
Perimeter = 2 (length + breadth) = 2 x (20 +30) = 2 x 50 = 100 m.
Did You Know –

Squares and rectangles always cover more Area, and the Perimeter always tends to be lesser than the Area covered but in triangles, the Perimeter is more than the Area covered.