An irregular pentagon or polygon of higher order.
It cannot be a quadrilateral because four right angles mean that the shape is either a rectangle (which has two pairs of equal sides, not two equal sides as required by the question), or a square (which has four equal sides).
A figure with four equal sides and no right angles is a rhombus. A rhombus is comprised of two acute angles and two obtuse angles.
A four sided figure with four equal sides and no right angles is a diamond, or a rhombus. If it had four right angles, it would be a square.
a square
A square is a plane geometric figure having 4 equal sides and 4 right angles.
Trapezoid
A parallelogram can have four equal sides that will not meet at right angles. The term diamond can also be used in this context.
rectangles squares
A figure with 4 equal sides and 4 equal angles is a square :)
square
four equal sides set at right angles
Square
A square.