Assuming each angle is 90 degrees, the shape is called a square.
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A square (a by a) and a rectangle (a by b) can have sides that are of equal length.
When all the vertices of a plane quadrilateral are exactly equal to 90 degrees it is is called a rectangle and, if all its sides are of equal length, that rectangle is called a square. So when a plane quadrilateral has all its vertices exactly equal to 90 degrees, but it does not have all its sides equal in length, it must be a rectangle but not a square.
A square has 4 equal sides. A rectangle has 2 short sides of equal length and 2 long sides of equal length
A rectangle with four equal sides would not be a rectangle, it would be a square. In a rectangle opposite sides are equal in length and are parallel.
A rectangle having all four sides as an equal single length is a square.