A rhombus
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parallelogram or rhombus, not sure
What is a squashed rectangle called
A quadrilateral with 4 equal sides and 4 right angles is a square.
If you mean all right angles are equal in MEASURE, then this would be a square or a rectangle, but if you meant 4 right angles and 4 sides of equal length then that would be a square.
A square is a plane geometric figure having 4 equal sides and 4 right angles.