Write a Java program that prompts the user to enter:

$$ rectangle width and rectangle height

If a rectangle with a non$-$positive dimension is entered, do not perform any calculations and

output an error message.

If given a valid rectangle, prompt the user to enter:

$$ x and y coordinates for the center of the rectangle. This should be entered as a String

value with two numbers $($any number of digits$)$ separated by a comma only, e$.$g$.2,2$

$$ x and y coordinates for the point to test. This should be entered as a String value with

two numbers $($any number of digits$)$ separated by a comma only, e$.$g$.6,4$

Using built$-$in String methods, $$break$$ the two ordered pairs into four individual x and y values.

Note that these values will need to be numeric for future calculations.

The program should then check whether the point at the user$-$entered x and y values is within

the rectangle centered at the user$-$entered x and y values with the specified width and height.

Do not try to error check the String input; assume all input will be given in the correct format

with a comma and no spaces. You may also assume all numbers entered by the user are whole

numbers.

For example, $(2,2)$ is inside the rectangle centered at $(0,0)$ with width $10$ and height $5.$ The point $(6,4)$ is outside the rectangle. The distance formula to determine absolute distance between points $($x $1,$ y$1)$ and $($x$2,$ y$2)$ is: $(($x$2-$x$1)^2+($y$2-$y$1)^2)$ To determine only the horizontal or vertical distance, do not add the corresponding component before taking the square root. To determine only the horizontal or vertical distance, do not add the corresponding component

before taking the square root