__Perimeter__

- Perimeter is the total length or total distance covered along the boundary of a closed shape.

- Perimeter of a circle is also called as the circumference of the circle.

**Example: **Find the Perimeter of the given figure.

**Solution**

Perimeter = Sum of all the sides

= (12 + 3 + 7 + 6 + 10 + 3 + 15 + 12) m

= 68 m

__Perimeter of a Triangle__

- Perimeter of triangle = Sum of lengths of all sides
- If the given triangle is equilateral that is if all the sides are equal

(a = b = c), then its perimeter is equal to 3 × length of one side of the triangle.

**Example**

Find the perimeter of a triangle having each side length 13 cm.

**Solution**

Perimeter of an equilateral triangle = 3 × length of a side

Perimeter of triangle

= 39 cm

__Perimeter of a Rectangle__

- Perimeter of the rectangle = length ( l ) + length ( l ) + width (w) + width (w) = 2× [length ( l ) + width (w)]

**Example:**

The length and breadth of a rectangular swimming pool are 16 and 12 meters respectively. find the perimeter of the pool.

**Solution: **

Perimeter of a rectangle = 2 × (length + breadth)

Perimeter of the pool = 2 × (16 + 12)

= 2 × 28 = 56 meters

__Perimeter of a Square__

Perimeter of square = 4 × length of a side = 4a

**Example**

Find the perimeter of a square having side length 25 cm.

**Solution**

Perimeter of a square = 4 × length of a side

Perimeter of square = 4 × 25 = 100 cm

__Perimeter of a ‘n’ sided polygon__

- A polygon is a closed shape made up of line segments.
- Perimeter of n sided polygon = n × length of one side.
- Length of each side of a hexagon is a cm, then:

Perimeter of the hexagon = 6a cm

**Example**

Find the perimeter of a pentagon having side length 9 cm.

**Solution**

Perimeter of a regular pentagon = 5 × length of one side

Perimeter of a regular pentagon = 5 × 9

= 45 cm

__Perimeter of irregular shapes__

- Irregular shapes are the shapes which do not have all sides and angles equal.
- The perimeter of irregular shapes is equal to total length covered by the shape.

In the figure given below, perimeter is the sum of all sides.

Login

Accessing this course requires a login. Please enter your credentials below!