That's not possible.
True, a parallelogram always has opposite side equal.
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It is a rhombus that has 4 equal sides and no right angles
parallelogram
a rhombus is a parallelogram with 4 equal sides. It does not need right angles; that is a special case which is a square
No, that's a square. A rhombus is a parallelogram with 4 equal sides, but no right angles.
A square has 4 congruent sides and 4 right angles