Calculate Parallelogram Perimeter: Finding the Total Length with Sides 4 and 5

Given the parallelogram:

Calculate the perimeter of the parallelogram.

Video Solution

Solution Steps

00:00 Calculate the perimeter of the parallelogram

00:03 Opposite sides are equal in a parallelogram

00:13 Let's substitute the side value

00:20 These sides are also opposite therefore equal

00:26 Let's substitute the side value

00:35 The perimeter of the parallelogram equals the sum of its sides

00:53 Let's substitute appropriate values and solve to find the perimeter

01:03 And this is the solution to the problem

Step-by-Step Solution

To solve the problem of calculating the perimeter of the parallelogram, follow these steps:

Identify the given side lengths: $AB = 5$ and $AC = 4$ .
Acknowledge that in a parallelogram, opposite sides are equal, so $AB = CD = 5$ and $AC = BD = 4$ .
Apply the perimeter formula for a parallelogram: $P = 2 \times ( \text{Base} + \text{Side} )$ .

Plug the known side lengths into the formula:
$P = 2 \times (AB + AC) = 2 \times (5 + 4) = 2 \times 9 = 18$

Thus, the perimeter of the parallelogram is $18$ .