$$Square$,$ will implement a data type Square that represents squares with the x and y coordinates of their upper$-$left corners and the length.

The API should be as follows.

Square$($double x$,$ double y$,$ double length$)//$constructor

double area$()//$returns the area of the square

double perimeter$()//$returns the perimeter of the square

boolean intersects$($Square b$)//$does this square intersect b$?$ Two squares would intersect if they share one or more common points

boolean contains$($Square b$)//$does this square contain b$?$

void draw$()//$draw this square on standard drawing

Note: The program should include a main method to test that it does the following.

Instantiate a Square object whose upper$-$left corner coordinates and length are given as command$-$line arguments. It should print out the area and perimeter of the square.

Prompt the user for a second square$$s upper$-$left corner coordinates and length, and indicate whether it intersects with the square specified earlier and also whether it contains the square specified earlier.

Provide a pop$-$up window that displays the two squares.

A sample run would be as follows.

$>$java Square $0\mathrm{.}20\mathrm{.}70\mathrm{.}3$

The area is $0\mathrm{.}09$

The perimeter is $1\mathrm{.}2$

Enter the upper$-$left coordinates and the length of a square: $0\mathrm{.}30\mathrm{.}60\mathrm{.}4$

It intersects the first square.

It does not contain the first square.

Also a window should pop up that displays both the squares. in java