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

Given the parallelogram:

6.56.56.5AAABBBDDDCCC4.5

Calculate the perimeter of the parallelogram.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

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1

Understand the problem

Given the parallelogram:

6.56.56.5AAABBBDDDCCC4.5

Calculate the perimeter of the parallelogram.

2

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

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

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

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

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

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

3

Final Answer

22

Practice Quiz

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Find the perimeter of the parallelogram using the data below.

555222

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