The main difference between area and perimeter is that area is the region occupied by the shape and the perimeter defines the length of the outer boundary of the shape. Both geometric parameters define the size of a shape. relationship between area and perimeter in tabular form
In math, area and perimeter are two very important math concepts in geometry. Many students can easily get confused between these two terms that seem so similar, but have a big difference between them. To help you differentiate between area and perimeter, read this article we will address the basic differences along with other characteristics. We will also calculate examples of the area and the perimeter. So if you are interested, keep reading.
Definition of area and perimeter
The area is defined as the space / region occupied by a flat two – dimensional object. It is measured in square units. relationship between area and perimeter in tabular form
Consider a square that has side ‘a’, then the area of the square is given by a 2 .
The perimeter is defined as the length of the boundary of a closed figure. For example, a square that has a side length equal to ‘ a ‘, then the perimeter will be the sum of its four sides, that is, ‘4a’. The perimeter measurement is in unity.
What are the differences between area and perimeter? relationship between area and perimeter in tabular form
Below we show you a comparative table with the differences between these two geometric concepts.
|Area is the region occupied by a closed shape in a two-dimensional plane.||The 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 agriculture||Example: fencing of the agricultural plot|
|Square area = side 2||Perimeter of square = 4 x side|
|Area of a rectangle = Length × Width||Perimeter of rectangle = 2 (length + width)|
|Triangle area = ½ × base × height||Perimeter of the triangle = Sum of the three sides|
|Rhombus area = ½ (product of diagonals)||Perimeter of rhombus = 4 × side|
|Trapezoid area = ½ (sum of parallel sides)||Perimeter of the trapezoid = sum of all sides|
Example 1: if the length of the side of a square is 11 m. Then find its area and perimeter.
- Solution: Given, square side = 11 m
- Area = side 2 = 11 2 = 121 square meters
- Perimeter = 4 sides = 4 x 11 = 44 square cm.
Example 2: The length of the rectangular plot is 12 meters and the width is 10 meters. Find the area and perimeter of the plot.
- Solution: Given, Length = 12 meters
- Width = 10 meters
- Therefore, Area = length x width = 12 x 10 = 120 square meters
- Perimeter = 2 (length + width) = 2 x (12 + 10) = 2 x 22 = 44 meters.
Frequently asked questions about the difference between area and perimeter
What is the difference between perimeter and area?
The perimeter is the distance from the outer surface of the shape and the area is the space it occupies.
Is there a relationship between area and perimeter?
There is no direct relationship between area and perimeter. But the two perimeters depend on the dimensions of the shape.
What is the formula for the area and perimeter of a rectangle?
The formula for the area of the rectangle is the product of the length and the width, and the formula for the perimeter for the rectangle is twice (length + width).
What is the area and perimeter of the square?
The area of the square is equal to the square of its side, and the perimeter of the square is the sum of its four sides.
How to find the perimeter? relationship between area and perimeter in tabular form
The perimeter of a figure that has sides is equal to the length of the sum of all the sides. Therefore, we need to add all the sides of a shape to find the perimeter.