Create a rectangle class using all methods given below. Use Java Class Rectangle will have the following instance variables: •x –a double that represents the x coordinate of the lower left vertex of the rectangle •y –a double that represents the y coordinate of the lower left vertex of the rectangle •width –a double that represents the width of the rectangle •height–a double that represents the height of the rectangle •color –a String that represents the color of the rectangle •filled –a boolean variable that is true if the rectangle is filled, and false if it is not Rectangle constructor: The constructor should be: Rectangle (double x, double y, double height, double width, String color, boolean filled) Parameters are, in order,the x and y coordinates of the lower left corner, the height, the width, and the color of the rectangle. The constructor should check that these values represent a valid rectangle. If they do, then it should initialize the rectangle to these values. Otherwise, the date rectangle should be initialized to an unfilled rectangle of width 0.1, height 0.1, color “red” and lower left vertex at coordinates (0, 0). If only the color is invalid, then only the color should be set to red.

Question

*Create a rectangle class using all methods given below.*

*Use Java*

Class Rectangle will have the following instance variables:

•x –a double that represents the x coordinate of the lower left vertex of the rectangle

•y –a double that represents the y coordinate of the lower left vertex of the rectangle

•width –a double that represents the width of the rectangle

•height–a double that represents the height of the rectangle

•color –a String that represents the color of the rectangle

•filled –a boolean variable that is true if the rectangle is filled, and false if it is not

Rectangle constructor:

The constructor should be:

Rectangle (double x, double y, double height, double width, String color, boolean filled)

Parameters are, in order,the x and y coordinates of the lower left corner, the height, the width, and the color of the rectangle. The constructor should check that these values represent a valid rectangle. If they do, then it should initialize the rectangle to these values. Otherwise, the date rectangle should be initialized to an unfilled rectangle of width 0.1, height 0.1, color “red” and lower left vertex at coordinates (0, 0). If only the color is invalid, then only the color should be set to red.

Rectangle Methods: use all

double getX() - Returns the x coordinate of this object.

double getY() - Returns the y coordinate of this object.

double getWidth() - Returns the width of this object.

double getHeight() - Returns the height of this object.

String getColor() - Returns the color of this object.

boolean isFilled() - Returns whether the rectangle is filled or not

void setX(double x) - Sets the x coordinate of this object to x.If thisresults in aninvalidrectangle, it leaves the x coordinate unchanged.

void setY(double y) - Sets the y coordinate of this object to y.If thisresults in aninvalidrectangle, it leaves the y coordinate unchanged.

void setWidth(double w) - Sets thewidth of this object to w.If this results in an invalid rectangle, it leaves thewidth unchanged.

void setHeight(double h) - Sets the height of this object to h. If this results in aninvalidrectangle, it leaves the height unchanged.

void setColor (String c) - Sets the color of this object to c.If c is invalid, it leaves the color coordinate unchanged.

void setFill (boolean f) - Sets the filled variable to f.

String toString() - Returns a String representation of the rectangle containing the values of all instance variables.

boolean equals(Rectangle rect) - Returns true if rect represents the same rectangle as this object, and false otherwise.

double computePerimeter() - Computes and returns the perimeter of this rectangle

double computeArea() - Computes and returns the area of this rectangle

boolean containsPoint(double x, double y) - Returns true if this rectangle contains point (x, y)

boolean containsRectangle(Rectangle rect) - Returns true if this rectangle contains rectangle rect

boolean intersects(Rectangle rect) - Returns true if rectangle rect and this rectangle intersect.

static boolean isValid(double x, double y, double w, double h) - Static method. Returns true if the rectangle with lower leftvertex at (x,y), width w and height h is valid, and false otherwise.