The number **10.7639** square feet comes from the conversion factor between square meters (m²) and square feet (ft²). Specifically:

1 square meter (m²) = 10.7639 square feet (ft²)

This factor is derived from the fact that 1 meter is approximately 3.28084 feet. Since we're converting areas, we square both sides of this length conversion:

\[
1 \, \text{m}^2 = (3.28084 \, \text{ft})^2 = 10.7639 \, \text{ft}^2
\]

This is why, when converting an area in square meters to square feet, you multiply by 10.7639.

Would you like more details or have any other questions? Here are 5 related questions to explore further:

1. How do you convert square feet back to square meters?
2. What is the conversion factor for cubic meters to cubic feet?
3. Why does the length conversion factor need to be squared when converting areas?
4. How do you calculate the area of a space in square feet if you know the dimensions in meters?
5. What are common applications of converting between square meters and square feet?

**Tip:** For quick conversions between units, try remembering approximate conversion factors like 1 m² ≈ 10.764 ft² for area or 1 m ≈ 3.28 ft for length.

Discover how to convert square meters to square feet using the conversion factor 1 m² = 10.7639 ft². This guide covers the concept of unit conversion and explains why the linear conversion factor needs to be squared when dealing with area measurements. Ideal for students in Grades 9-12.

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