A parallelogram
A Rectangle!
a paper
trapezoid
That's a rectangle.
A parallelogram or a rectangle
A parallelogram
A Rectangle!
a paper
A kite shape is one example -- 2 long sides adjacent to each other & 2 short sides adjacent to each other.
Without knowing their arrangement or the angles involved, all you can say is that it is a quadrilateral (4 sides). If the long sides are opposite, parallel, and equal in length -- and if the short sides are opposite, parallel, and equal in length -- you have a parallelogram. If all of the angles of the parallelogram are right angles, you have a rectangle.
trapezoid
That's a rectangle.
trapezoid
The quadrilateral you are describing is a scalene trapezoid. It has two sides of unequal lengths (the long sides) and two other sides of equal, shorter lengths (the short sides). This shape does not exhibit reflective symmetry and lacks right angles, fitting your criteria perfectly.
Because it takes a lot more than just "2 long sides and 2 short sides" to make a rectangle. -- The 2 long sides have to be equal. -- They have to be opposite each other, not next to each other. -- The 2 short sides have to be equal. -- They have to be opposite each other, not next to each other. -- At least one of the angles where two sides come together has to be 90 degrees.
There is no such shape.