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Mathematics

Square Calculator

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Pro Tip

The square is the rectangle with maximum area for a given perimeter. A square with perimeter 40 has area 100. A rectangle 5×15 with the same perimeter has area 75 — 25% less efficient.

Did You Know?

The square is the most efficient shape for packing — a grid of squares covers 100% of a plane without gaps. Hexagons also cover 100% but with a shorter total perimeter per unit area, which is why honeycombs use hexagons (less wax needed).

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