Calculate Parallelogram Area with Base 8 and Height 6: Geometric Problem

Parallelogram Area with Missing Height Measurement

Find the area of the parallelogram based on the data in the figure:

888666

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Step-by-step video solution

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00:00 Find the area of the parallelogram
00:01 The height is not for the given side, there is not enough data to calculate

Step-by-step written solution

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1

Understand the problem

Find the area of the parallelogram based on the data in the figure:

888666

3

Final Answer

It is not possible to calculate.

Key Points to Remember

Essential concepts to master this topic
  • Area Formula: Parallelogram area equals base times perpendicular height
  • Key Issue: Height 6 is not perpendicular to base 8
  • Check: Verify height line is perpendicular to base ✓

Common Mistakes

Avoid these frequent errors
  • Using any side as height
    Don't multiply base 8 × side 6 = 48! The 6 represents a slanted side, not perpendicular height. Always ensure the height measurement is perpendicular to the base.

Practice Quiz

Test your knowledge with interactive questions

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

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FAQ

Everything you need to know about this question

Why can't I just multiply 8 × 6 = 48?

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The number 6 represents a slanted side, not the perpendicular height! For parallelogram area, you need the vertical distance between parallel sides, not the length of a slanted side.

How do I find the perpendicular height?

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Look for a right angle symbol (small square) or a dashed line showing the shortest distance between parallel sides. Without this measurement, you cannot calculate the area.

What makes this problem impossible to solve?

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The figure only shows the base length (8) and a slanted side (6). We're missing the crucial perpendicular height measurement needed for the area formula.

Could the area ever be 24 or 28?

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Only if the perpendicular height happened to be exactly 3 or 3.5 respectively. But since we don't know the actual height, we can't determine if these are correct.

What would I need to solve this problem?

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  • The perpendicular height (vertical distance between parallel sides)
  • Or an angle measurement to calculate the height using trigonometry
  • Or coordinates of all vertices

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