Area conversions follow from length conversions, but with a twist: you square the linear factor. Since 1 meter = 3.28084 feet, then 1 square meter = 3.28084² = 10.7639 square feet. This catches people out sometimes — if a room doubles in length, its area quadruples, not doubles.
All conversions go through square meters as the base unit:
- 1 square foot = 0.092903 m²
- 1 acre = 4,046.86 m²
- 1 hectare = 10,000 m² (exactly)
- 1 square mile = 2,589,988.11 m²
- 1 square yard = 0.836127 m²
Hectares and square meters have a clean relationship (1 ha = 10,000 m²) because both are metric. The acre, by contrast, has a somewhat arbitrary historical origin — it was originally defined as the area a single ox could plow in a day. Today it's fixed at exactly 43,560 square feet.
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