/** A Rectangle using the Class Point */
public class Rectangle {
  private Point leftUpperCorner;
  private Point rightLowerCorner;

  /** Constructor */
  public Rectangle(double x, double y, double width, double heigth) {
    leftUpperCorner = new Point(x,y);
    rightLowerCorner = new Point(x+width,y-heigth);
  }
  
  /** Constructor */
  public Rectangle(Point leftUpperCorner, Point rightLowerCorner) {
    this.leftUpperCorner = new Point(leftUpperCorner);
    this.rightLowerCorner = new Point(rightLowerCorner);
  }

  /** Default constructor */
  public Rectangle() {
    leftUpperCorner = new Point();
    rightLowerCorner = new Point();
  }
 
  /** Returns the width of the rectangle */
  public double width() {
    return (rightLowerCorner.x-leftUpperCorner.x);
  }
 
  /** Returns the height of the rectangle */
  public double heigth() {
    return (leftUpperCorner.y-rightLowerCorner.y);
  }

  /** Returns the position of the left upper corner as a Point */
  public Point position() {
    return leftUpperCorner;
  }
 
  /** Calculates the area */
  public double area() {
    return (width()*heigth());
  }

  /** Calculates the perimeter */
  public double perimeter() {
    return (2*(width()+heigth()));
  }
  
  /** Prints the position, width and heigth on STDOUT */ 
  public String toString() {
    return ("Rectangle at " + position()
	+ " with width="+width() + " and heigth="+heigth());
  }

}