Why do we measure a square in leanth and width, and a quadrallateral in hight and base?

Usually, a square is a two dimensional figure, which has ninety degree angular value for each angle. This is why; while measuring a square only the length and width is required, whereas, a quadrilateral may have different angular values. This is why; while measuring a quadrilateral perfectly, it requires the height and base. For having any more detailed information, you may consult with some experts, who have adequate knowledge regarding all such aspects.