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

Given the parallelogram:

444222AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

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Step-by-step video solution

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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

Step-by-step written solution

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1

Understand the problem

Given the parallelogram:

444222AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

2

Step-by-step solution

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

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

Proceeding with the calculation:

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

Therefore, the perimeter of the parallelogram is 12 units.

3

Final Answer

12

Practice Quiz

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Find the perimeter of the parallelogram using the data below.

555222

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