Calculate Parallelogram Perimeter: Given Sides 11 and 7 Units

Given the parallelogram:

111111777AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's calculate the perimeter of a parallelogram.
00:06 Remember, opposite sides in a parallelogram are equal.
00:10 Now, let's plug in the length of one side.
00:16 The other sides are opposite, so they are equal too.
00:21 Let's substitute the length of this side as well.
00:28 To find the perimeter, add up all the side lengths.
00:44 Substitute the values and calculate the perimeter.
00:55 And that's how you solve for the perimeter of a parallelogram!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Given the parallelogram:

111111777AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given side lengths of the parallelogram.
  • Step 2: Apply the formula for the perimeter of a parallelogram.
  • Step 3: Calculate the perimeter using the identified side lengths.

Now, let's work through each step:
Step 1: The problem states that the lengths of sides AB and BC in the parallelogram are 11 and 7 units, respectively.
Step 2: The formula for the perimeter P P of a parallelogram is P=2×(side 1+side 2) P = 2 \times (\text{side 1} + \text{side 2}) .
Step 3: Substituting the given lengths into the formula, we have:
P=2×(11+7)=2×18=36 P = 2 \times (11 + 7) = 2 \times 18 = 36 .

Therefore, the perimeter of the parallelogram is 36\mathbf{36} units.

3

Final Answer

36

Practice Quiz

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Find the perimeter of the parallelogram using the data below.

555222

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