An irregular pentagon.
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The name of a regular polygon with five equal sides and five equal angles is a pentagon. Each of the internal angles is equal to 108 degrees.
A plane shape with five sides of equal length, and five equal angles: each of 108 degrees.
It is not possible to have five perpendicular sides; four or eight, but not five. A shape with five equal sides is a pentagon.
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.
A pentagon has five sides and five angles, the only 2-D shape with these characteristics.