Calculate Parallelogram Perimeter: Finding Total Length with 6.5 and 4.5 Unit Sides

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

00:08 Let's substitute the side value

00:16 These sides are also opposite therefore equal

00:19 Let's substitute the side value

00:32 The perimeter of the parallelogram equals the sum of its sides

00:47 Let's substitute appropriate values and solve for the perimeter

00:57 And this is the solution to the problem

Step-by-Step Solution

To determine the perimeter of the parallelogram, follow these steps:

Step 1: Note the given side lengths of the parallelogram. Side $AB = 6.5$ and side $AD = 4.5$ .
Step 2: Apply the perimeter formula for a parallelogram: $P = 2(a + b)$ , where $a$ and $b$ are the lengths of two adjacent sides.
Step 3: Substitute the given lengths into the formula:

$P = 2 \times (6.5 + 4.5)$

Step 4: Perform the addition inside the parentheses: $6.5 + 4.5 = 11$

Step 5: Multiply the sum by 2 to find the perimeter: $P = 2 \times 11 = 22$

Therefore, the solution to the problem is that the perimeter of the parallelogram is $P = 22$ .

Upon reviewing the choices, the correct answer is choice 4: 22.