Square

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Two meanings

Geometry

A square is a special rectangle, one in which all sides are the same length. Because a square is a kind of rectangle, it must have a right angle at each corner. So, all of the angles are "the same" (congruent, or matching), and all of the sides are congruent, too.

The orange shapes in this design are squares; the blue shapes (rhombuses) also have sides of matching length, but their angles are of two different sizes.

Number

When you multiply an integer times itself, the resulting product is called a perfect square or a square number, or just "a square." So 1, 4, 9, 16, 25, 36, 49, ... 100, 121, 144, ... 9801, ... are all square numbers.

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Mathematical background

Related mathematical terms

What's in a word?

Etymology

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