How to find the Perimeter of a parallelogram with examples

The perimeter of a parallelogram is the sum of all the lengths of its sides. A parallelogram is a four-sided plane figure which has its opposite sides parallel and equal. The side of the parallelogram is not at right angles. The opposite sides of a parallelogram are equal. On this page, we will discuss the perimeter of a parallelogram in detail.

What is a perimeter of a parallelogram?

The perimeter of any plane figure is the sum of all the lengths of sides of that plane figure. Hence the perimeter of a parallelogram is the sum of all the lengths of its four sides.

The formula for finding the perimeter of a parallelogram is = the sum of the lengths of its four sides

= 2 × base + 2 × other sides

= 2b + 2s, where b = base and s = side

How to find the perimeter of a parallelogram

To find the perimeter of a parallelogram, make sure the lengths of it’s four sides have the same units of measurement. For example, if one of the units is in meters (m) and the other side units are in centimeters (cm). Convert one of the units to a unit of measurement you feel comfortable with. After Converting all the lengths to one unit of measurement sum all the lengths of sides to get the perimeter of a parallelogram. Let’s understand more with some examples.

Example 1. Find the perimeter of the parallelogram below.

solution

The perimeter of a parallelogram is = the sum of the lengths of its four sides. Since two opposite sides of a parallelogram are equal then

= 2b + 2s, where b= base = 12m and s= side = 8m

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= 2(12m) + 2(8m)

= 24m + 16m

= 40m

Hence the perimeter of the parallelogram is 40m. This is pretty good, right? Let’s look at another example

Example 2. Find the perimeter of the parallelogram below.

Solution

The formula for finding the perimeter of a parallelogram = 2b + 2s, where b=12cm and s=8cm

= 2(12cm) + 2(8cm)

= 24cm + 16cm

= 40cm

Therefore, the perimeter of the parallelogram is 40cm.