A four sided figure is a quadrilateral. There are several specific quadrilaterals, squares, rectangles, parallelograms, trapezoids, rhomboids, and kites.
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trapezoid
A shape with 4 sides is a quadrilateral
A shape with five sides would be a pentagon, but a shape can not have 5 right angles. Squares and Rectangles are both shapes with 4 sides and 4 right angles. They are the only shape with the same amount of right angles as there is sides.
Any shape that has 4 sides is a quadrilateral
There is no simple shape that has exactly 4 square sides.