For this lab, a Rectangle is defined two points:$$ upper left point and lower right point. These points are of the type Point with the value of x and y$.$With these two points, the height and width can be computed.$$ For example, the height would be the upper left point's y $-$ the lower right point's y$.$ You can assume the rectangles are always horizontal as shown in the picture below.

Write a java program that prompts the user for N random rectangles, create an array of N rectangles and print them.

Do the following:

Write a Rectangle class in a file named Rectangle.java

Add private instance variables upperLeft$$of type int to the Rectangle$$class

Add private instance variables lowerRight$$of type int to the Rectangle$$class

Add a empty constructor that initializes the rectangle's upperLeft and lowerRight$$to the value $(,0,0).$

Add a parameterized constructor that initialize the rectangle's upperLeft$$and lowerRight$$with the parameters' values.

Add a method getHeight$()$ that returns the height of the the rectangle.

Add a method$$getWidth$()$that returns the$$width$$of the width rectangle.

Add a method setUpperLeft$($Point ul$)$ that updates the instance variable upperLeft

Add a method$$setLowerRight$($Point ul$)$that updates the instance variable$$lowerRight

Add a method getUpperLeft$()$that returns the upperLeft point of the the rectangle.

Add a method$$getLowerRight$()$that returns the lowerRight$$point$$of the the rectangle.

Add a method getArea$()$ that returns the area of the rectangle.

Override the toString$()$ method to returns the string representation of the rectangle object.$$ For example, if the rectangle has a height of $5$ and a width of $3,$ then returned string is "Rect$[$h$=5,$ w$=3]"$

Create a method in Main class called randRect$($int n$)$ returns an array of n random rectangles.$$ Random means that the upper left and lower right of each rectangle object is randomly generated.$$

In the main method, prompts for the number of rectangles.$$ Then use the method randRect$($int n$)$ to generate the random rectangles.$$ Then print each rectangles and its area as shown in the sample run.

Sample run:

How many rectangles? $10$

Rect$[$h$=10,$ w$=1]$ has an area of $10$

Rect$[$h$=8,$ w$=10]$ has an area of $80$

Rect$[$h$=2,$ w$=4]$ has an area of $8$

Rect$[$h$=2,$ w$=5]$ has an area of $10$

Rect$[$h$=8,$ w$=2]$ has an area of $16$

Rect$[$h$=6,$ w$=10]$ has an area of $60$

Rect$[$h$=9,$ w$=4]$ has an area of $36$

Rect$[$h$=2,$ w$=10]$ has an area of $20$

Rect$[$h$=6,$ w$=10]$ has an area of $60$

Rect$[$h$=3,$ w$=2]$ has an area of $6$