Square Area Calculator

A square is the simplest 2D shape to measure. Four equal sides, four right angles, and a single number tells you everything.

Area formula:

A = s²

Where s is the side length. The area of a 5 cm square is 25 cm². A 10 cm square is 100 cm² — four times as much, not twice. That’s the catch with area: doubling the side quadruples the area.

Why squaring matters in real life:

• A 12-inch tile covers 144 sq in. A 6-inch tile covers 36 sq in. So you need four times as many small tiles to cover the same floor.
• Doubling the size of a garden bed from 4 ft × 4 ft (16 sq ft) to 8 ft × 8 ft (64 sq ft) means four times the soil, four times the plants, four times the watering.
• A square room 15 ft on a side has 225 sq ft of floor. The same room at 20 ft on a side has 400 sq ft — 78% more flooring needed for a 33% bigger side.

Working in mixed units: convert before you compute. 1 sq ft = 144 sq in, 1 sq m = 10,000 sq cm, 1 sq yd = 9 sq ft. The same area expressed in different units gives wildly different numbers — a 1 m square is 1 sq m, 10,000 sq cm, or 1,550 sq in.

Worked example: patio 8 ft on a side. Area = 8² = 64 sq ft. Pavers sold in 12-inch squares cover 1 sq ft each, so you need 64. Add 10% waste for cuts and breakage: 71 pavers.

Quick checks:

• The perimeter is always 4 × side, not the area.
• If you know the diagonal d, the side is d/√2 and the area is d²/2.
• The area of a square is the largest of any rectangle with the same perimeter — useful when fencing a garden on a fixed budget.