Calculate Parallelogram Perimeter: Using Side Lengths 8 and 3

Question

Given the parallelogram:

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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
00:09 Let's substitute the side value
00:19 These sides are also opposite therefore equal
00:24 Let's substitute the side value
00:34 The perimeter of the parallelogram equals the sum of its sides
00:54 Let's substitute appropriate values and solve for the perimeter
01:07 And this is the solution to the question

Step-by-Step Solution

To solve this problem, let's follow these steps:

  • Step 1: Identify the lengths of the adjacent sides of the parallelogram.
  • Step 2: Use the formula for the perimeter of a parallelogram, P=2(a+b) P = 2(a + b) .
  • Step 3: Plug in the known values and calculate the perimeter.

Now, let's work through each step:

Step 1: From the diagram, we have two adjacent sides of the parallelogram: a=8 a = 8 units and b=3 b = 3 units.

Step 2: The formula for the perimeter of a parallelogram is given by P=2(a+b) P = 2(a + b) .

Step 3: Substitute the values for a a and b b into the formula:

P=2(8+3)=2×11=22 P = 2(8 + 3) = 2 \times 11 = 22 .

Therefore, the perimeter of the parallelogram is 22 22 .

Answer

22