No only if its in the form of a square or a rhombus that all 4 sides are of equal lengths
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A rectangle has 4 sides not the same length and 4 right angles.
All four sides of a square are equal in length. Only the opposite sides of a rectangle are the same length. The adjacent sides are different in length.
A regular polygon requires all sides to be the same length; in a rectangle not all four sides are the same length (they form two pairs of sides of equal length) and so it is not a regular polygon.
Rectangle, parallelogram
square