Calculate Parallelogram Perimeter: Finding the Total Length with Side Measurements 2 and 4

Question

Given the parallelogram:

Calculate the perimeter of the parallelogram.

00:00 Calculate the perimeter of the parallelogram

00:03 Opposite sides are equal in a parallelogram

00:08 Let's substitute the side value

00:12 These sides are also opposite therefore equal

00:17 Let's substitute the side value

00:29 The perimeter of the parallelogram equals the sum of its sides

00:45 Let's substitute appropriate values and solve for the perimeter

00:55 And this is the solution to the question

To find the perimeter of the parallelogram, we follow these steps:

Step 1: Identify the given side lengths from the diagram: $AB = 4$ units and $AD = 2$ units.
Step 2: Use the perimeter formula for a parallelogram, which is $P = 2(a + b)$ .
Step 3: Substituting the given values into the formula: $a = 4$ and $b = 2$ .

Proceeding with the calculation:

$P = 2(4 + 2) = 2 \times 6 = 12$ .

Therefore, the perimeter of the parallelogram is 12 units.