When all sides are equal it has a to be SQUARE. Which is the only shape that is a regular quadrilateral.
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A parallelogram whose sides are equal in length is always a rhombus. In addition, it may be a rectangle. If it's a rectangle, then it's also a square.
There is no way to know.If two opposite sides are parallel and of equal length, then the quadrilateral is a parallelogram (rectangle, rhomboid, square, or rhombus).
A square is a rectangle whose adjacent sides are equal.
A square is a rectangle (whose sides are all equal), or a rhombus (whose angles are all equal).
By definition a rectangle is a four-sided figure whose opposite sides are equal in length and corners are right angles. The definition doesn't say anything about the lengths of adjacent sides, though. A square has the same definition as a rectangle with the added criterion that adjacent sides are also equal in length. That means a square is a more-specific type of rectangle.