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Square Area

Also known as area of a square · square footage of a square · s squared

A=s2A = s^2

Worked example: 7 m square → 49 m^2 — press Try an example to run it live, then adjust anything.

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Square Area explained

As

The square is the unit of area itself. When we say a room is 12 square metres, we mean it would take twelve 1 m × 1 m squares to tile it — so A=s2A = s^2 is less a formula than a definition made arithmetic. It is also the reason area scales as the square of size: double a square's side and you quadruple its area, which is why a 12-inch pizza is not twice the food of a 6-inch one but four times it.

Going backwards, s=As = \sqrt{A}, answers the tiler's question: 20 m² of tile covers a square room 4.47 m on a side. The square root is where irrational numbers were born — the Pythagoreans discovered that a square of area 2 has a side that no fraction can express, a fact that reportedly disturbed them enough to keep it secret.

Square Area formula

A=s2A = s^2
Where
  • AA= Area (m²)
  • ss= Side length (m)

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