Calculate Parallelogram Perimeter: 12-Unit Base with 7-Unit Side Length

Calculate the perimeter of the parallelogram ABCD, given that CD is parallel to AB.

777121212AAABBBCCCDDD

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Step-by-step video solution

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00:00 Calculate the perimeter of the parallelogram
00:03 The perimeter of the parallelogram equals the sum of its sides
00:07 Opposite sides are equal in a parallelogram
00:18 Let's substitute appropriate values according to the given data, and solve for the perimeter
00:30 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Calculate the perimeter of the parallelogram ABCD, given that CD is parallel to AB.

777121212AAABBBCCCDDD

2

Step-by-step solution

First we need to remember that pairs of opposite sides in a parallelogram are parallel and equal.

Therefore, AB is parallel to CD and BC is parallel to AD.

From this we can conclude that AB = CD = 7.

Also: BC = AD = 12.

Finally we can calculate the perimeter by adding all the sides together:

7+7+12+12=14+24=38 7+7+12+12=14+24=38

3

Final Answer

38

Practice Quiz

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Given the parallelogram:

444222AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

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