MIDTERM MAC190 Dr. Omar Ait Hellal I. Design and code a class Rectangle that has the following properties: · Two private double members length and width · A constructor that accepts two parameters for...

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MIDTERM MAC190 Dr. Omar Ait Hellal I. Design and code a class Rectangle that has the following properties: · Two private double members length and width · A constructor that accepts two parameters for the private members · Default constructor that sets both members to 0 · Accessor (getter) for each private member · Mutator (setter) for each private member · Method area() that returns the area of the rectangle · Method Perim() that returns the perimeter of the rectangle · Method toString that return the param as a String · Method Add that accepts a Rectangle and returns a rectangle with length as sum of lengths of this and the input rectangle and the width as the sum too. This should not ne modified. · Method equals() that accepts a rectangle and returns true if the two rectangles are the same and false if not. II. Design a class Cube, that has the following properties: · A base as a Rectangle object and a height. So your class has two private members: Rectangle base and double height. · A default constructor tht sets the base to default Rectangle and height to 0 · A Constructor that accepts a Rectangle and a double · A constructor that accepts three doubles · Getters/setters (also getters/setters for length and width) · Method Area(), that computes the areas of all surfaces of the cube; use any already defines method previously in Rectangle class. · Method Volume() that computes the volume, use any already defines method previously in Rectangle class. · Method add that accepts a Cube and returns the sum of this and the input Cube, without changing this object · toString() that returns the object as a string · equals() that accepts a Cube and returns true if the two are the same. Use previously defined methods in this class or in the Rectangle class whenever possible. III. Write a program to test both classes. Try to use as many of the public constructors and methods as possible.