Calculate Parallelogram Area: 3cm Base with 1.5cm Height Problem

Parallelogram Area with Base-Height Method

AB = 3 cm

Height of the rectangle = 1.5 cm

AAABBBDDDCCC31.5

Calculate the area of the parallelogram.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the area of parallelogram ABCD
00:03 Opposite sides are equal in a parallelogram
00:15 Let's use the formula to calculate the area of a parallelogram
00:18 Side(CD) multiplied by height (H)
00:22 Let's substitute the appropriate values and solve for the area
00:33 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

AB = 3 cm

Height of the rectangle = 1.5 cm

AAABBBDDDCCC31.5

Calculate the area of the parallelogram.

2

Step-by-step solution

To calculate the area of the given parallelogram, we'll proceed with the following steps:

  • Identify the base and height of the parallelogram.
  • Apply the formula for the area of a parallelogram.
  • Calculate the area using the provided measurements.

Step 1: Identify the given dimensions:

The base b b is given as 3 cm, and the height h h is 1.5 cm.

Step 2: Apply the area formula for a parallelogram:

The formula for the area of a parallelogram is A=b×h A = b \times h .

Step 3: Substitute the known values into the formula:

A=3×1.5 A = 3 \times 1.5 .

Step 4: Perform the multiplication:

A=4.5 A = 4.5 square centimeters.

Thus, the area of the parallelogram is 4.5 4.5 square centimeters.

3

Final Answer

4.5

Key Points to Remember

Essential concepts to master this topic
  • Formula: Area equals base times height for parallelograms
  • Technique: Use A = b × h where 3 × 1.5 = 4.5
  • Check: Verify units are square centimeters and answer is reasonable ✓

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 overestimated result. Always use the perpendicular height (shortest distance between parallel sides).

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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The height is the perpendicular distance between the parallel sides, while the side length is the actual length of the slanted side. Always use height for area calculations!

Why can't I just multiply the two sides together?

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Multiplying two sides gives you the area of a rectangle, not a parallelogram! Since parallelograms are slanted, you need the perpendicular height, not the slanted side.

How do I identify the base and height from a diagram?

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The base can be any side of the parallelogram. The height is shown as a dashed line perpendicular to the base, often with a right angle symbol.

What units should my answer have?

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Since area measures space, your answer should always be in square units! If the measurements are in centimeters, your area will be in square centimeters (cm²).

Can I use any side as the base?

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Yes! You can use any side as the base, but then you must use the height that's perpendicular to that specific base. The area will be the same either way.

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