JavaFX Rectangle overlap check

import javafx.application.Application;
import javafx.geometry.Insets;
import javafx.scene.Scene;
import javafx.scene.layout.Pane;
import javafx.scene.layout.VBox;
import javafx.scene.paint.Color;
import javafx.scene.shape.Rectangle;
import javafx.scene.text.Text;
import javafx.stage.Stage;

public class Main extends Application {
   @Override/*  www  . jav  a 2 s . c om*/
   public void start(Stage primaryStage) {

      // Create a pane and a vbox
      Pane pane = new Pane();
      VBox vBox = new VBox(20);
      vBox.setPadding(new Insets(10, 5, 5, 10));

      Rectangle r1 = getRectangle(12, 23, 56, 76);
      Rectangle r2 = getRectangle(43, 45, 78, 90);

      // Test if rectangles contain or overlap each other
      String output = "        ";
      if (contains(r1, r2) || contains(r2, r1))
         output += "One rectangle is contained in another ";
      else if (overlaps(r1, r2))
         output += "The rectangles overlap ";
      else
         output += "The rectangles do not overlap ";

      // Add rectangles to pane
      pane.getChildren().addAll(r1, r2);

      // Place nodes in vbox
      vBox.getChildren().addAll(pane, new Text(20, 0, output));

      // Create a scene and place it in the stage
      Scene scene = new Scene(vBox);
      primaryStage.setTitle("java2s.com");
      primaryStage.setScene(scene);
      primaryStage.show();
   }

   /** Returns a rectangle with specified center coordinates, width, height. */
   private Rectangle getRectangle(int x1, int y1, int x2, int y2) {
      Rectangle r = new Rectangle(x1, y1, x2, y2);
      r.setFill(Color.WHITE);
      r.setStroke(Color.BLACK);
      return r;
   }

   /** Returns true if one rectangle is inside the other */
   public boolean contains(Rectangle r1, Rectangle r2) {
      return r2.getY() + r2.getHeight() <= r1.getY() + r1.getHeight()
            && r2.getX() + r2.getWidth() <= r1.getX() + r1.getWidth() && r2.getX() > r1.getX() && r2.getY() > r1.getY();
   }

   /** Returns true if the specified rectangles overlap */
   public boolean overlaps(Rectangle r1, Rectangle r2) {
      return getDistance(r1.getX(), r2.getX() + r2.getWidth()) < r1.getWidth() + r2.getWidth()
            && getDistance(r1.getY(), r2.getY() + r2.getHeight()) < r1.getHeight() + r2.getHeight();

   }

   private double getDistance(double p1, double p2) {
      return Math.sqrt(Math.pow(p2 - p1, 2));
   }
}