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In this lesson, we will see some examples on the perimeter of a parallelogram.

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Consider this parallelogram. We can see that, these 2 parallel sides have the length of 3cm and these 2 parallel sides have the length of 5cm.

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Find the perimeter of this parallelogram.

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Now, to find the perimeter of the parallelogram, P, we just add the length of these sides together.

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Hence, we have P, equals to 3, add with 5, add with another 3, and add with another 5.

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Therefore, we have P=3+5+3+5.

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Let's calculate this. 3, add with 5, gives 8. 5, add with 8, gives 13. 3, add with 13, gives 16.

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Hence, we have P=16.

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Now, this number has no meaning, unless we include the unit for it.

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Since the side lengths are given in centimeter, the perimeter must also be in centimeter.

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Hence, the perimeter of this parallelogram is 16cm.

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Next example, the perimeter of this parallelogram is 30ft. Find x.

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Here, we can see that, this parallelogram has 2 parallel sides of length 8 feet, and, another 2 parallel sides of length x.

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Now, we can find the perimeter of the parallelogram, by adding all the side lengths together.

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By doing so, we have x, add with 8, add with another x, and add with another 8.

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Since the perimeter is given as 30ft, this expression must be equals to, 30.

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Before we continue, let's arrange the like terms together.

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Now, let's simplify this equation. 8, add with 8, gives 16.

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x, add with x, gives 2x.

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Now, we have 2x+16=30.

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To get a step closer in finding x, we need to remove 16.

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To do so, we add -16 to both sides of the equation.

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By doing so, we get, 2x equals to, 30 minus 16. 30, minus 16, gives 14.

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Next, to find x, we need to remove 2. We can do so, by dividing both sides of the equation with 2.

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By doing so, we get, x=14/2.

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14, divided by 2, gives 7. Hence, we have, x=7.

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Again, this number has no meaning unless we include the unit for it.

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Since, the unit is in feet, 7 will also be in feet.

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Finally, we have, x=7ft.

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That is all for this lesson. Try out the practice question to further your understanding.