Calculate Parallelogram Perimeter: Using Side Lengths 7 and 10

101010777AAABBBDDDCCC

Calculate the perimeter of the given 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
00:15 These sides are also opposite therefore equal
00:21 Let's substitute the side value
00:32 The perimeter of the parallelogram equals the sum of its sides
00:50 Let's substitute appropriate values and solve for the perimeter
00:59 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

101010777AAABBBDDDCCC

Calculate the perimeter of the given parallelogram.

2

Step-by-step solution

As is true for a parallelogram each pair of opposite sides are equal and parallel,

Therefore it is possible to argue that:

AC=BD=7 AC=BD=7

AB=CD=10 AB=CD=10

Now we can calculate the perimeter of the parallelogram by adding together all of its sides:

10+10+7+7=20+14=34 10+10+7+7=20+14=34

3

Final Answer

34

Practice Quiz

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Given the parallelogram:

444222AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

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