Write an abstract superclass encapsulating a college applicant:

a college applicant has two attributes: the applicant’s name and the college the applicant is applying to.

this class has two non-abstract subclasses: one encapsulating an applicant for undergraduate school, and the other encapsulating an applicant for graduate school.

an applicant for undergraduate school has two attributes: a sat score and a gpa. an applicant for graduate school has one additional attribute: the college of origin.

it also has a method that returns "from inside" if the college of origin is the same as the college applied to; otherwise, it returns "from outside".

you also need to include a class to test two classes. java .

Write a program that displays the following menu: geometry calculator 1. calculate the area of a circle 2. calculate the area of a rectangle 3. calculate the area of a triangle 4. quit enter your choice (1-4): if the user enters 1, the program should ask for the radius of the circle and then display its area. use the following formula: area = ď€(the square of r) use 3.14159 for ď€ and the radius of the circle for r. if the user enters 2, the program should ask for the length and width of the rectangle and then display the rectangle’s area. use the following formula: area = length * width if the user enters 3, the program should ask for the length of the triangle’s base and its height, and then display its area. use the following formula: area = base * height * .5 if the user enters 4, the program should end. input validation: display an error message if the user enters a number outside the range of 1 through 4 when selecting an item from the menu. do not accept negative values for the circle’s radius, the rectangle’s length or width, or the triangle’s base or height. note: if the user enters an improper menu choice (1-4), the program prints "the valid choices are 1 through 4. run the program again and select one of those." if the user enters a negative radius, the program prints "the radius can not be less than zero." if the user enters a negative value for height or base, the program prints "only enter positive values for base and height."