shape no pairs of perpendicular sides
A right angled triangle is an example of a shape with exactly 2 perpendicular sides.
a Kite
The question asks about four sides and 2 perpendicular sides. That makes 6 sides in all. So it is a hexagon with either only one right angle, or two sides that are mutually perpendicular.
Square
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.
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.
parallelogram
A hexagon.
No anwser impossible