A parallelogram or a rectangle would fit the given description
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A polygon (four sided shape) that has 2 parallel sides with different lengths, and 2 sides with the same length but sort of slanting in. * * * * * No. What is described is an isosceles trapezium. In general, the slanting sides need not be the same length.
There is no such thing a a trapizium. A trapezium is a quadrilateral: that is a plane figure that is bounded by four straight sides. Two of these sides are parallel but of different lengths. (If they were of the same length then the shape would become a parallelogram.)
A shape with four sides has four vertices and a shape with three sides has three vertices, so a shape with four sides has more vertices than a shape with three sides.
A four-sided planar shape (any one) made up of line segments is called a quadrilateral. Any quadrilateral will have the sum of its interior angles equal to 360 degrees. This shape maybe a trapezium, but not necessarily. A trapezium is a quadrilateral with no parallel sides, but it is possible to construct one with a couple of sides that are of equal length. Use the link below and check things out with our friends at Wikipedia, where knowledge is free.
Add together the lengths of its four sides.