Perimeter is the sum of the lengths of the sides of any figure. Let’s find out the perimeter of a triangle, rectangle, square, and quadrilateral.

Perimeter of a Triangle

The perimeter of a triangle can be found by adding the length of its three sides. Let’s see some examples.

Example 1. Find out the perimeter of the triangle.

Triangle
Solution.Length of side AB = 5 cm
Length of side BC = 7 cm
Length of side AC = 5 cm
The perimeter of the triangle = Length of AB + Length of BC + Length of AC
          = 5 cm + 7 cm + 5 cm
          = 17 cm
So, the perimeter of the triangle is 17 cm.

Example 2. Find out the perimeter of the triangle.

Triangle
Solution.Length of side AB = 3 cm
Length of side BC = 4 cm
Length of side AC = 5 cm
The perimeter of the above triangle = Length of AB + Length of BC + Length of AC
          = 3 cm + 4 cm + 5 cm
          = 12 cm
So, the perimeter of the triangle is 12 cm.

Perimeter of a Rectangle

The perimeter of a rectangle is the sum of all four sides. We know that opposite sides of a rectangle are equal.
Rectangle
Perimeter of a rectangle = 2 x (Length + Breadth)

Example 1. Find out the perimeter of a rectangle whose length is equal to 5 cm and breadth is equal to 3 cm.

Solution.
Perimeter of the rectangle = 2 x (Length + Breadth)
          = 2 x (5 cm + 3 cm)
          = 2 x 8 cm
          = 16 cm
So, the perimeter of the rectangle is equal to 16 cm.

Perimeter of a Square

The perimeter of a square is the sum of all four sides. We know all the sides of a square are equal.
Square
Perimeter of a square = 4 x Side length

Example 1. The side of a square is 5 cm. Find the perimeter.

Square
Solution.The perimeter of the square = 4 x Side length = 4 x 5 cm = 20 cm.
So, the perimeter of the square is equal to 20 cm.

Perimeter of a Quadrilateral

The perimeter of a quadrilateral is the sum of the length of all four sides.
Quadrilateral
The perimeter of the quadrilateral = Length of AB + Length of BC + Length of CD + Length of AD

Example 1. Find the perimeter of the quadrilateral.

Quadrilateral

Solution.Perimeter of the quadrilateral ABCD = 2 cm + 6 cm + 3 cm + 4 cm
          = 15 cm
So, the perimeter of the quadrilateral ABCD is equal to 15 cm.

Now let’s find out the area of these shapes here.
AREA OF SHAPES

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