There is no special name. And some quadrilaterals with special characteristics (eg a trapezium) could still have all sides of different lengths.
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A trapezoid is a 4 sided quadrilateral with 1 pair of opposite parallel sides of different lengths
All quadrilaterals have 4 sides of various lengths and the 4 sides added together is the perimeter
How about a rectangle which is a quadrilateral with sides of different lengths
What are the lengths of the sides of a quadrilateral if the perimeters is 54 inches
That it has 4 sides and a pair of parallel sides of different lengths