Math Problem Statement

Convert 6 square meters (m²) to square yards (yd²), rounding to 2 decimal places.

Solution

The task in the image is to convert 6 square meters (m²) into square yards (yd²), rounding to 2 decimal places if necessary.

Conversion factors:

  • 1 square meter (m²) = 1.19599 square yards (yd²).

Calculation:

6m2×1.19599yd2m2=7.17594yd26 \, \text{m}^2 \times 1.19599 \, \frac{\text{yd}^2}{\text{m}^2} = 7.17594 \, \text{yd}^2

Rounding to two decimal places: 6m2=7.18yd26 \, \text{m}^2 = 7.18 \, \text{yd}^2

So, 6 m² is approximately 7.18 yd².

Would you like further explanation on the conversion process or any other questions?

Here are some additional questions to consider:

  1. How would you convert other units of area, such as square feet to square meters?
  2. What are some applications where area conversions are important?
  3. How would you handle conversions for irregularly shaped areas?
  4. What is the difference between square and linear conversions?
  5. How do unit conversions differ between metric and imperial systems?

Tip: Always ensure that you use the correct conversion factor based on the units you're working with to avoid errors!

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Area

Formulas

1 m² = 1.19599 yd²

Theorems

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Suitable Grade Level

Grades 6-8