An irregular pentagon as shown below.
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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 regular pentagon. (If it's not regular, then it could have a right angle, or even a few of them.)
Its Impossible. For there to be a shape where all five lines meet perfectly and there to be two pairs of perpendicular sides, there must three right angles. Alternitavely, you could have 1 pair of perpendicular lines and two rights angles, but certainly not both.
A pentagon has five sides and five angles, the only 2-D shape with these characteristics.
An irregular pentagon.