Calculate the Perimeter of Parallelogram ABCD with Side Length 10

Calculate the perimeter of the parallelogram ABCD.

AB is parallel to CD.

XXX101010AAABBBCCCDDD

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00:00 Calculate the perimeter of the parallelogram
00:03 The perimeter of the parallelogram equals the sum of the sides
00:07 Opposite sides are equal in a parallelogram, so we'll multiply the sum
00:09 We'll substitute appropriate values according to the given data, and solve for the perimeter
00:16 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

Calculate the perimeter of the parallelogram ABCD.

AB is parallel to CD.

XXX101010AAABBBCCCDDD

2

Step-by-step solution

To find the perimeter of the parallelogram ABCD, we will use the formula for the perimeter of a parallelogram:

  • The formula for the perimeter P P is P=2×(length of one base+length of one side) P = 2 \times (\text{length of one base} + \text{length of one side}) .

Given that:

  • The length of the base (either AB or CD) is X X .
  • The length of the side (either AD or BC) is 10.

Substituting these values into the formula for the perimeter, we get:

P=2×(X+10) P = 2 \times (X + 10)

Distribute the 2:

P=2X+20 P = 2X + 20

Therefore, the perimeter of parallelogram ABCD is 2X+20 2X + 20 .

The correct answer, as per the choices given, is choice 4: 2x+20 2x+20 .

3

Final Answer

2x+20 2x+20

Practice Quiz

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Given the parallelogram:

444222AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

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