# Difference between Area and Perimeter

The key **difference between area and perimeter** is: area is the region occupied by shape and perimeter defines the length of the outer boundary of the shape. Both the parameters define the size of a shape. Learn more on perimeter and area here.

In mathematics, Area & Perimeter both seem to be important terms in Geometry. One can easily get confused between these terms which looks similar but have a huge difference between them. Here we will discuss the basic differences along with some of the basic features and calculating the Area & Perimeter for those shapes.

## 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^{2}.

**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.**

## 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 = side^{2} |
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 |

### 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 = side^{2} = 11^{2} = 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.