Please write a java code for the below problem:

Create a more sophisticated Rectangle class than the one you created above. This class stores only the Cartesian coordinates of the four corners of the rectangle. The constructor calls a set method that accepts four sets of coordinates and verifies that each of these is in the first quadrant with no single x- or y-coordinate larger than 20.0. The set method also verifies that the supplied coordinates specify a rectangle. Provide methods to calculate the length, width, perimeter and area (the length is the larger of the two dimensions). Write a program to test class Rectangle