It is a square that fits the description for the given quadrilateral
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Sides cannot be right angles whatever the figure because sides are sides and not angles, the answer you are looking for is a rhombus.
It may have no right angles, and certainly no parallel sides.
The shape you are looking for is a quadrilateral. If you have a square, all angles MUST be right angles. A parallelogram can also have 4 equal sides in length and parallel sides, but a parallelogram doesn't have right angles.
A parallelogram with no right angles and four congruent sides is a Rhombus.
It is a rhombus that has 4 equal sides but no right angles.