Yes because it has 4 sides in common with all quadrilaterals.
A quadralateral and a parallelogram.
A quadralateral (sic!) is a four angled shape. EX: Square, Rectangle, and Rhombus.
A polygon is any geometric figure with more than one side. And since a rectangle has 4 sides, it is a polygon. To be more specific, it is a quadralateral
Quadrilaterals with two pairs of parallel sides: Rhombus Parallelogram Rectangle Square
a quadralateral has 4 sides
the length of the sides on a square would be equal, a rectangle IS a quadralateral, but the sides lengthwise are not equal to the sides widthwise
Apart from the fact that the shape is called a quadrilateral, not quadralateral, the answer depends on which characteristic you want to measure.