Can a quadrilateral be both a square and a rectangle?

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What is the most sides of the same length a quadrilateral can have?

All quadrilaterals have four sides, four vertices and four
angles. A quadrilateral where all sides have the same length can
also be called a square, a rhombus, a rectangle, and a
parallelogram.
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If all 4 sides are equal it is a square or a rhombus but not a
rectangle or parallelogram.

What is Cardinality of the set?

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