(Geometry: inside a rectangle?) Write a program that draws a fixed rectangle centered a...

(Geometry: inside a rectangle?) Write a program that draws a fixed rectangle centered at (100, 60) with width 100 and height 40. Whenever the mouse is moved, display a message indicating whether the mouse point is inside the rectangle at the mouse point or outside of it, as shown in Figure 16.24b. To detect whether a point is inside a rectangle, use the MyRectangle2D class defined in Programming Exercise 10.13.

Ref Prb:

(Geometry: the MyRectangle2D class) Define the MyRectangle2D class that contains:

¦ Two double data fields named x and y that specify the center of the rectangle with get and set methods. (Assume that the rectangle sides are parallel to xor y- axes.)

¦ The data fields width and height with get and set methods.

¦ A no-arg constructor that creates a default rectangle with (0, 0) for (x, y) and 1 for both width and height.

¦ A constructor that creates a rectangle with the specified x, y, width, and height.

¦ A method getArea() that returns the area of the rectangle.

¦ A method getPerimeter() that returns the perimeter of the rectangle.

¦ A method contains(double x, double y) that returns true if the specified point (x, y) is inside this rectangle (see Figure 10.18a).

¦ A method contains(MyRectangle2D r) that returns true if the specified rectangle is inside this rectangle (see Figure 10.18b).

¦ A method overlaps(MyRectangle2D r) that returns true if the specified rectangle overlaps with this rectangle (see Figure 10.18c).

F IGURE 10.18 A point is inside the rectangle. (b) A rectangle is inside another rectangle. (c) A rectangle overlaps another rectangle. (d) Points are enclosed inside a rectangle.