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

Given the parallelogram:

555444AAABBBDDDCCC

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
00:13 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 written solution

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1

Understand the problem

Given the parallelogram:

555444AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

2

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

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

Thus, the perimeter of the parallelogram is 18 18 .

3

Final Answer

18

Practice Quiz

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Find the perimeter of the parallelogram using the data below.

555222

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