Calculate Parallelogram Perimeter: Given Side Lengths 3 and 9

Question

Given the parallelogram:

Calculate the perimeter of the parallelogram.

00:03 Let's find the perimeter of this parallelogram.

00:07 Remember, in a parallelogram, opposite sides are equal.

00:12 Now, let's insert the length of one side.

00:17 These other sides are opposite, so they are equal too.

00:23 Let's put in the length of this side as well.

00:35 The perimeter is the total of all the side lengths. Let's add them up!

00:50 We'll plug in the values and calculate the perimeter together.

01:01 And there we have it! That's how we solve this problem.

To determine the perimeter of the parallelogram, we need first to identify the lengths of the sides:

From the problem, one side ( $a$ ) is $9$ units, and an adjacent side ( $b$ ) is $3$ units.

Using the formula for the perimeter of a parallelogram, $P = 2(a + b)$ , we can substitute the known values:

Substituting these values into the formula gives us:

$P = 2(9 + 3)$

$P = 2 \times 12$

$P = 24$

Therefore, the perimeter of the parallelogram is $24$ .