Calculate Parallelogram Area: Using Base 10 and line 4

Parallelogram Area with Insufficient Data

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

101010444

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's find the area of the parallelogram. It's going to be fun!
00:13 Uh oh! We don't have enough information to calculate the area right now.
00:17 And that's how we tackle this problem! Keep up the great work!

Step-by-step written solution

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1

Understand the problem

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

101010444

2

Step-by-step solution

In this particular problem, despite being given certain measurements, the diagram lacks sufficient clarity to identify which corresponds definitively as the base and which as the perpendicular height of the parallelogram. This insufficiency means that without further context or labeling to avoid assumptions that may lead to error, it is not feasible to calculate the area confidently using the standard formula.

Thus, the answer to the problem is that it is not possible to calculate the area with the provided data.

3

Final Answer

It is not possible to calculate.

Key Points to Remember

Essential concepts to master this topic
  • Area Formula: Area equals base times perpendicular height only
  • Data Analysis: Must identify which measurement is the perpendicular height
  • Verification: Check that height measurement is perpendicular to base ✓

Common Mistakes

Avoid these frequent errors
  • Multiplying any two given measurements
    Don't multiply 10 × 4 = 40 just because both numbers are given! The diagonal line marked '4' is not perpendicular to the base, so this gives the wrong area. Always identify which measurement represents the perpendicular height before calculating.

Practice Quiz

Test your knowledge with interactive questions

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

101010777AAABBBCCCDDDEEE

FAQ

Everything you need to know about this question

Why can't I just multiply 10 × 4 to get 40?

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The number 4 appears to be along a slanted line, not perpendicular to the base. For parallelogram area, you need base × perpendicular height, not base × any side length!

How do I know which measurement is the height?

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The height must be the perpendicular distance between parallel sides. Look for right angle symbols (⊥) or measurements clearly marked as perpendicular to the base.

What makes this problem impossible to solve?

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The diagram doesn't clearly show which measurement is the perpendicular height. Without this crucial information, we cannot apply the area formula A=base×height A = base \times height correctly.

Could the answer be 20 instead of impossible?

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No! Even if we tried 12×10×4=20 \frac{1}{2} \times 10 \times 4 = 20 , that's the triangle area formula. Parallelograms don't use the half factor that triangles do.

What would I need to solve this problem?

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You'd need either:

  • A clear label showing which measurement is perpendicular to the base
  • Right angle markers (⊥) in the diagram
  • Additional information about the parallelogram's orientation

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