Calculate Parallelogram Area: Finding Height X with Base 20 and Side 11

Calculate the area of the parallelogram ABCD according to the following data:

DA=11 DA=11

AB=20 AB=20

AE=x AE=x

111111202020XXXDDDAAABBBCCCEEE

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Step-by-step video solution

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00:00 Calculate the area of the parallelogram
00:03 Opposite sides are equal in a parallelogram
00:06 We'll use the formula for calculating the area of a parallelogram (base times height)
00:11 We'll substitute the appropriate values according to the given data and solve for the area
00:13 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

Calculate the area of the parallelogram ABCD according to the following data:

DA=11 DA=11

AB=20 AB=20

AE=x AE=x

111111202020XXXDDDAAABBBCCCEEE

2

Step-by-step solution

To find the area of the parallelogram ABCD, we use the following information and process:

  • Step 1: Recognize that AB AB , which equals 20 units, is the base of the parallelogram.
  • Step 2: The height corresponding to this base is the line segment from A A perpendicular to CD CD , denoted AE=x AE = x .
  • Step 3: Use the formula for the area of a parallelogram: Area=base×height\text{Area} = \text{base} \times \text{height}.

Given:

  • Base AB=20 AB = 20 .
  • Height AE=x AE = x .
Now, applying the formula:

Area=AB×AE=20×x=20x \text{Area} = AB \times AE = 20 \times x = 20x

Therefore, the area of the parallelogram ABCD is 20x20x.

The correct answer is 20x\boxed{20x}.

3

Final Answer

20X

Practice Quiz

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A parallelogram has a length equal to 6 cm and a height equal to 4.5 cm.

Calculate the area of the parallelogram.

6664.54.54.5

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