Area scales as the square
The most common area mistake is applying a length conversion directly. A metre is 3.28 feet, but a square metre is 10.76 square feet — 3.28 squared. Doubling the sides of a square quadruples its area, and the same applies to unit conversion.
Land units
Hectare — 10,000 m², a square 100 m on a side. The metric standard for land.
Acre — 4,046.86 m², about 0.405 hectares. Historically the area a yoke of oxen could plough in a day, which is why it is not a round number of anything. It is defined as one chain by one furlong (66 ft × 660 ft), so an acre is a long thin rectangle by origin rather than a square.
A useful rule of thumb: a hectare is about two and a half acres, and a football pitch is roughly one hectare.