Parallelogram Perimeter Problem: Find X When AB = 6 and Perimeter = 20

Look at the parallelogram shown below.

AB = 6

AC = X

The perimeter of the parallelogram is 20.

AAABBBDDDCCC6X

Find X.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find X
00:03 Opposite sides are equal in a parallelogram
00:12 They are also a pair of opposite sides, therefore equal
00:24 The perimeter of the parallelogram equals the sum of its sides
00:38 Let's substitute appropriate values and solve for X
00:54 Isolate X
01:02 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Look at the parallelogram shown below.

AB = 6

AC = X

The perimeter of the parallelogram is 20.

AAABBBDDDCCC6X

Find X.

2

Step-by-step solution

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

AB=CD=6,AC=BD=x AB=CD=6,AC=BD=x

Calculate X according to the given perimeter:

20=6+6+x+x 20=6+6+x+x

20=12+2x 20=12+2x

20−12=2x 20-12=2x

8=2x 8=2x

x=4 x=4

3

Final Answer

4

Practice Quiz

Test your knowledge with interactive questions

Given the parallelogram:

444222AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

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