13.7(TheColorableinterface) Design an interface named Colorable with a voidmethod named howToColor(). Every class of a colorable object must imple-ment the Colorable interface. Design a class named Square that extends GeometricObject and implements Colorable. Implement howToColor to display the message Color all four sides. Draw a UML diagram that involves Colorable,Square, and GeometricObject.Write a test program that creates an array of five GeometricObjects. For each object in the array, display its area and invoke its howToColor method if it is colorable.

Sorry, I'm an AI language model and I cannot draw UML diagrams. However, I can provide you with the code implementation of the problem you mentioned. Here's the solution:

// Colorable interface
public interface Colorable {
    void howToColor();
}

// GeometricObject class
public abstract class GeometricObject {
    // abstract methods
    public abstract double getArea();
}

// Square class
public class Square extends GeometricObject implements Colorable {
    private double side;

    // constructor
    public Square(double side) {
        this.side = side;
    }

    // implementation of abstract method
    public double getArea() {
        return side * side;
    }

    // implementation of Colorable interface method
    public void howToColor() {
        System.out.println("Color all four sides.");
    }
}

// Test program
public class TestProgram {
    public static void main(String[] args) {
        GeometricObject[] objects = new GeometricObject[5];
        objects[0] = new Square(5);
        objects[1] = new Square(7);
        objects[2] = new Square(3);
        objects[3] = new GeometricObject() {
            public double getArea() {
                return 10;
            }
        };
        objects[4] = new GeometricObject() {
            public double getArea() {
                return 15;
            }
        };

        for (int i = 0; i < objects.length; i++) {
            System.out.println("Area of object " + (i+1) + ": " + objects[i].getArea());
            if (objects[i] instanceof Colorable) {
                ((Colorable)objects[i]).howToColor();
            }
        }
    }
}

Output:

Area of object 1: 25.0
Color all four sides.
Area of object 2: 49.0
Color all four sides.
Area of object 3: 9.0
Color all four sides.
Area of object 4: 10.0
Area of object 5: 15.0