Calculate Parallelogram Area: 6 cm Base × 4.5 cm Height Problem

Parallelogram Area with Base-Height Formula

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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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the area of the parallelogram
00:03 We will use the formula to calculate the area of a parallelogram (side times height)
00:06 We will substitute appropriate values and solve to find the area
00:09 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

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

2

Step-by-step solution

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

The formula for the area of a parallelogram is Area=base×height \text{Area} = \text{base} \times \text{height} .

Here, the base of the parallelogram is 6 cm, and the height is 4.5 cm.

Substituting these values into the formula gives:

Area=6×4.5 \text{Area} = 6 \times 4.5

Performing the multiplication:

Area=27 \text{Area} = 27 square centimeters.

Therefore, the area of the parallelogram is 27cm2 27 \, \text{cm}^2 .

Referring to the given multiple-choice answers, the correct choice is:

Choice 3: 27 27 .

3

Final Answer

27

Key Points to Remember

Essential concepts to master this topic
  • Formula: Area of parallelogram equals base times height only
  • Technique: Multiply 6 cm × 4.5 cm = 27 square centimeters
  • Check: Units are cm² and result makes sense for given dimensions ✓

Common Mistakes

Avoid these frequent errors
  • Using side length instead of height
    Don't multiply base by the slanted side length = wrong area! The slanted side is longer than the perpendicular height, giving an inflated result. Always use the perpendicular distance from base to opposite side as height.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

What's the difference between height and side length in a parallelogram?

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Height is the perpendicular distance between parallel sides, while side length is the actual length of the slanted side. Always use height in the area formula, not the slanted side!

Why can't I use the slanted side in my calculation?

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The slanted side is longer than the actual height because it's measured at an angle. Using it would give you a larger area than the parallelogram actually has.

How do I identify which measurement is the height?

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Look for the perpendicular line in diagrams - it usually has a small square symbol where it meets the base. The height is always measured at a 90° angle to the base.

Do I need to worry about which side I call the base?

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No! You can use any parallel pair as base and height. The area will be the same: 6×4.5=4.5×6=27 6 \times 4.5 = 4.5 \times 6 = 27 cm².

What units should my final answer have?

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Always use square units! Since both measurements are in cm, your area must be in cm2 \text{cm}^2 (square centimeters).

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