Calculate Parallelogram Area: Base 6 and Height 3

ABCD is a parallelogram.

AH is the height.

DC = 6
AH = 3

What is the area of the parallelogram?

666333AAABBBCCCDDDHHH

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Step-by-step video solution

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00:00 Calculate the area of the parallelogram
00:03 We'll use the formula for calculating the area of a parallelogram (height times side)
00:10 We'll substitute the side that is the height in the parallelogram
00:16 We'll substitute values according to the given data, calculate and solve
00:20 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

ABCD is a parallelogram.

AH is the height.

DC = 6
AH = 3

What is the area of the parallelogram?

666333AAABBBCCCDDDHHH

2

Step-by-step solution

To solve this problem, let's apply the formula for the area of a parallelogram:

  • The given base DC DC is 6 cm.
  • The perpendicular height AH AH from point A A to base DC DC is 3 cm.

The formula for the area of a parallelogram is:

Area=base×height \text{Area} = \text{base} \times \text{height}

Substituting the given values, we have:

Area=6×3 \text{Area} = 6 \times 3

Thus, the area of parallelogram ABCDABCD is:

Area=18cm2 \text{Area} = 18 \, \text{cm}^2

Therefore, the solution to the problem is 18cm218 \, \text{cm}^2.

3

Final Answer

18 cm²

Practice Quiz

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Calculate the area of the parallelogram according to the data in the diagram.

101010777AAABBBCCCDDDEEE

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