A square (a by a) and a rectangle (a by b) can have sides that are of equal length.
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A rectangle is a square when all four of its sides have equal length.
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A square has 4 equal sides. A rectangle has 2 short sides of equal length and 2 long sides of equal length
A square is a special case of a rectangle. Every square is a rectangle, but not every rectangle is a square. A square is a rectangle with four sides that are all equal in length.