It is not possible to have five perpendicular sides; four or eight, but not five. A shape with five equal sides is a pentagon.
square
A hexagon.
No anwser impossible
trapazoid
shape no pairs of perpendicular sides
A shape with three and only three sides is a triangle, but it is not possible for a triangle to have three perpendicular sides.
The rectangle.
It is not possible to have five perpendicular sides; four or eight, but not five. A shape with five equal sides is a pentagon.
No sides perpendicular means no right angles. A rhombus is a quadrilateral with no right angles so no sides perpendicular.
A right angled triangle is an example of a shape with exactly 2 perpendicular sides.
square
A sphere.
a Kite
The first geometric shape that comes to mind with no perpendicular sides is a triangle.
There is no such shape since it is always possible to add another side.
parallelogram