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?
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Area
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Perimeter
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| 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 |
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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.