Create a class Rectangle, which stores only Cartesian coordinates of four corners of a rectangle as arrays shown below:

p4[x4,y4] p3[x3,y3]

p1[x1,y1] p2[x2,y2]

The constructor calls a set function that accepts four sets of coordinates. The set function verifies that the supplied coordinates do, in fact, form a rectangle.

Provide member functions that calculate length, width, perimeter, and area. The length is larger of the two dimensions. Include a predicate function square that determines whether the rectangle is a square.

Write a program for the above described rectangle class, compile it, execute it, and demonstrate to your instructor.