Perimeter of a Parallelogram: Applying the formula

Using the properties of the perimeter of the parallelogramUsing additional geometric shapesCalculate The Missing Side based on the formulaUsing variablesFinding Area based off Perimeter and Vice Versa
Question 1

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

777121212AAABBBCCCDDD

Question 2

101010777AAABBBDDDCCC

Calculate the perimeter of the given parallelogram.

Question 3

666444AAABBBDDDCCC

Calculate the perimeter of the given parallelogram:

Question 4

Calculate the perimeter of the following parallelogram:

101010888

Question 5

Calculate the perimeter of the following parallelogram:

333111

Examples with solutions for Perimeter of a Parallelogram: Applying the formula

Exercise #1

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

777121212AAABBBCCCDDD

Video Solution

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

Answer

38

Exercise #2

101010777AAABBBDDDCCC

Calculate the perimeter of the given parallelogram.

Video Solution

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

Answer

34

Exercise #3

666444AAABBBDDDCCC

Calculate the perimeter of the given parallelogram:

Video Solution

Step-by-Step Solution

As is true for a parallelogram every pair of opposite sides are equal:

AB=CD=6,AC=BD=4 AB=CD=6,AC=BD=4

The perimeter of the parallelogram is equal to the sum of all sides together:

4+4+6+6=8+12=20 4+4+6+6=8+12=20

Answer

20

Exercise #4

Calculate the perimeter of the following parallelogram:

101010888

Video Solution

Answer

36

Exercise #5

Calculate the perimeter of the following parallelogram:

333111

Video Solution

Answer

8

Question 1

Find the perimeter of the parallelogram using the data below.

555222

Question 2

Given the parallelogram:

111111777AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Question 3

Given the parallelogram:

444222AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Question 4

Given the parallelogram:

555222AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Question 5

Given the parallelogram:

141414111111AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Exercise #6

Find the perimeter of the parallelogram using the data below.

555222

Video Solution

Answer

14

Exercise #7

Given the parallelogram:

111111777AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Video Solution

Answer

36

Exercise #8

Given the parallelogram:

444222AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Video Solution

Answer

12

Exercise #9

Given the parallelogram:

555222AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Video Solution

Answer

14

Exercise #10

Given the parallelogram:

141414111111AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Video Solution

Answer

50

Question 1

Given the parallelogram:

6.56.56.5AAABBBDDDCCC4.5

Calculate the perimeter of the parallelogram.

Question 2

Given the parallelogram:

202020151515AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Question 3

Given the parallelogram:

151515101010AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Question 4

Given the parallelogram:

999333AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Question 5

Given the parallelogram:

101010888AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Exercise #11

Given the parallelogram:

6.56.56.5AAABBBDDDCCC4.5

Calculate the perimeter of the parallelogram.

Video Solution

Answer

22

Exercise #12

Given the parallelogram:

202020151515AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Video Solution

Answer

70

Exercise #13

Given the parallelogram:

151515101010AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Video Solution

Answer

50

Exercise #14

Given the parallelogram:

999333AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Video Solution

Answer

24

Exercise #15

Given the parallelogram:

101010888AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Video Solution

Answer

36

Question 1

Given the parallelogram:

888666AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Question 2

Given the parallelogram:

171717131313AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Question 3

Given the parallelogram:

888333AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Question 4

Given the parallelogram:

555444AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Question 5

Calculate the perimeter of the following parallelogram:

8.18.18.1888

Exercise #16

Given the parallelogram:

888666AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Video Solution

Answer

28

Exercise #17

Given the parallelogram:

171717131313AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Video Solution

Answer

60

Exercise #18

Given the parallelogram:

888333AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Video Solution

Answer

22

Exercise #19

Given the parallelogram:

555444AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Video Solution

Answer

18

Exercise #20

Calculate the perimeter of the following parallelogram:

8.18.18.1888

Video Solution

Answer

32.2