A square might be what you are trying to suggest.
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A rhomboid
A rhombus has 4 congruent sides, but it does not necessarily have 4 congruent angles.
A rhombus would fit the given description because it has 4 equal sides with 2 equal acute angles and 2 equal obtuse angles.
It is a rhombus that has 4 equal sides but no right angles.
It would take the shape of a square with 4 equal sides and 4 equal right angles.