How to find the Perimeter of a Parallelogram?

Parallelogram is a quadrilateral with four sides where opposite sides are parallel to each other. It has four vertices and 4 edges. In a parallelogram, opposite sides are equal in length and opposite angles are equal in measure. It is a two-dimensional figure and the perimeter of a parallelogram can be calculated from the concept of mensuration. Mensuration is a branch of mathematics that deals with the measurements such as length, area, perimeter, volume, etc of geometrical figures. 

Parallelogram

The perimeter of a parallelogram is defined as the total distance outside of the geometric shape. The perimeter of a parallelogram is the sum of the length of all four sides. In parallelogram opposite sides are equal in length. So perimeter becomes twice the sum of two parallel sides.

How to Find the Perimeter of a Parallelogram?

The Perimeter of a Parallelogram can be determined by using the formula mentioned below:

Perimeter of Parallelogram with opposite length as a and b is given by,

Perimeter of Parallelogram, p = 2(a + b)

Let’s look at a few sample problems on the perimeter of the parallelogram.

Sample Questions

Question 1: What is the perimeter of a parallelogram whose lengths of sides are 3cm and 5cm.

Solution:

Given,

Length of two sides of different length,

a = 3 cm

b = 5 cm

Perimeter of a parallelogram = 2(a + b)

= 2 (3+5)

= 2 × 8

= 16 cm

Hence perimeter of given parallelogram is 16 cm.

Question 2: What is the perimeter of a parallelogram whose base length is 4 cm and another side length is 8 cm.

Solution:

Given,

Length of two sides of different length,

a = 4 cm

b = 8 cm

Perimeter of a parallelogram = 2(a + b)

= 2(4+8)

= 2×12

= 24 cm

Hence, perimeter of given parallelogram is 24 cm.

Question 3: What is the perimeter of a parallelogram where the length of sides are 2.5 cm, 6 cm, 2.5 cm, and 6cm respectively.

Solution:

Given,

Length of all four sides are 2.5 cm, 6 cm, 2.5 cm and 6 c.m

a = 2.5 cm

b = 6 cm

Perimeter of a parallelogram = 2(a + b)

= 2(2.5 + 6)

= 2 × 8.5

= 17 cm

Hence perimeter of given parallelogram is 17 cm.

Question 4: What is the perimeter of a parallelogram whose lengths of sides are 5 cm and 10 cm.

Solution:

Given,

Length of two sides of different length,

a = 5 cm

b = 10 cm

Perimeter of a parallelogram= 2(a + b)

= 2(5+10)

= 2 × 15

= 30 cm

Hence perimeter of given parallelogram is 30 cm.

Question 5: What is the perimeter of a parallelogram whose base length is 3.3 cm and another side length is 6.6 cm.

Solution:

Given,

Length of two sides of different length,

a = 3.3 cm

b = 6.6 cm

Perimeter of a parallelogram = 2(a + b)

= 2(3.3+6.6)

= 2×9.9

= 19.8 cm

Hence perimeter of given parallelogram is 19.8 cm

Question 6: What is the perimeter of a parallelogram where the length of sides are 4 cm, 6 cm, 4 cm, and 6 cm respectively.

Solution:

Given,

Length of all four sides are 4cm, 6cm, 4cm and 6cm

a = 4 cm

b = 6 cm

Perimeter of a parallelogram = 2(a + b)

= 2(4+6)

= 2×10

= 20 cm

Hence perimeter of given parallelogram is 20 cm.