There is no quadrilateral that meets these requirements. It is, of course, possible for a pentagon (or polygons with 6 or more sides) to have 4 equal sides and only 2 right angles.
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A square has 4 equal sides with 4 right angles.
A rhombus has 4 sides of equal length, opposing parallel sides, and no right angles
A parallelogram.
a square.
A square has 4 right angles, and 2 pairs of equal, perpendicular sides.