Difference Between Area And Perimeter

The essential distinction between area and perimeter is that area refers to the area occupied by the shape, while perimeter refers to the length of the shape's outside boundary. The size of a shape is determined by both of these characteristics.

Here's where you can learn more about area and perimeter. Both Area and Perimeter appear to be key notions in Geometry in mathematics. It is easy to become confused between these concepts, which appear to be similar yet have significant differences. We'll go over the fundamental distinctions, as well as some of the basic properties and how to calculate the area and perimeter of those forms. Join Safalta School Online and prepare for Board Exams under the guidance of our expert faculty. Our online school aims to help students prepare for Board Exams by ensuring that students have conceptual clarity in all the subjects and are able to score their maximum in the exams.

Table of Content 

1.Definition of Area and Perimeter
2.What are the Differences between Area and Perimeter?
 

Definition of Area and Perimeter

Area- Area is defined as space/region occupied by a two-dimensional flat object. It is measured in square units.

Consider a square having side ‘a’ then the area of the square is given by a square.

Perimeter- Perimeter is defined as the length of boundaries of a closed figure. For example, a square having side length equal to ‘a,’ then the perimeter will be the sum of all its four sides, i.e. ‘4a.’ The measurement of the Perimeter is in the unit.

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What are the Differences between Area and Perimeter?

Area	Perimeter
The area is the region occupied by a closed shape in a two-dimensional plane.	Perimeter is the length of the outer boundary  of a closed shape
It is measured in square units	It is measured in units
Example: Area of a plot for farming	Example: Fencing the agricultural plot
Area of square = side2	Perimeter of square = 4 x side
Area of a rectangle = Length × Breadth	Perimeter of rectangle = 2(Length+Breadth)
Area of triangle = ½ × base × height	Perimeter of triangle = Sum of all three sides
Area of rhombus = ½ (product of diagonals)	Perimeter of rhombus = 4 × side
Area of trapezium = ½ (sum of parallel sides)	Perimeter of trapezium = sum of all sides

 

You may also read-

• Perimeter of a rectangle
• Area of a square
• Area of a rectangle

 

Solved Examples

Example 1: If the length of the side of a square is 11 m. Then find its area and perimeter.

Solution: Given, side of square = 11 m

Area = side2 = 112 = 121 sq.m

Perimeter = 4 side = 4 x 11 = 44 sq.cm.


Example 2: The length of the rectangular plot is 12 yards and width is 10 yards. Find the area and perimeter of the plot.

Solution: Given, Length = 12 yards

Width = 10 yards

Therefore, Area = length x width = 12 x 10 = 120 sq. yards

Perimeter = 2 (length + width) = 2 x (12 + 10) = 2 x 22 = 44 yards.

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