Calculate Parallelogram Area: Using 3cm Base and 6cm External Height

ABCD is a parallelogram.

BE is its external height.

AD = 3 cm
BE = 6 cm

Calculate the area of the parallelogram.

333666AAABBBCCCDDDEEE

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:11 Let's calculate the area of the parallelogram.
00:15 We'll use the formula. Area equals height times the length of the side. Ready?
00:25 First, identify the side that is the height of the parallelogram.
00:31 Substitute the given values into the formula, calculate, and solve.
00:37 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

ABCD is a parallelogram.

BE is its external height.

AD = 3 cm
BE = 6 cm

Calculate the area of the parallelogram.

333666AAABBBCCCDDDEEE

2

Step-by-step solution

To solve this problem, we proceed with the following steps:

  • Step 1: Identify the base of the parallelogram as AD=3cm AD = 3 \, \text{cm} .
  • Step 2: Identify the external height as BE=6cm BE = 6 \, \text{cm} .
  • Step 3: Use the area formula for the parallelogram: Area=Base×Height \text{Area} = \text{Base} \times \text{Height}
  • Step 4: Substitute the given measurements into the formula: Area=3cm×6cm \text{Area} = 3 \, \text{cm} \times 6 \, \text{cm}
  • Step 5: Compute the area: Area=18cm2 \text{Area} = 18 \, \text{cm}^2

Therefore, the area of the parallelogram is 18cm2 18 \, \text{cm}^2 , which matches the given answer choice.

The correct answer is choice 2: 18 cm².

3

Final Answer

18 cm²

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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