Use the circleType class and rectangleType class from Lab#1 and add overloading functions for +(plus), and > (greater than) operators to use when the user chooses the following menu options:

1. Add the area of 2 circles

(You will ask the user for the radius of 2 circles, calculate the area for each, then add the areas of both using the overloaded + operator)

2. Add the area of 2 rectangles

(You will ask the user for the length and width of 2 rectangles, calculate the area for each, then add the areas of both using the overloaded + operator)

3. Compare the area of a circle and rectangle, which is larger?

(You will ask the user for the radius of a circle and length and width of a rectangle, calculate the areas of each, then find out which one has a larger area using the overloaded > operator)

4. Exit

Be sure to do input error checking for at least the menu option (if user inputs a character instead of a number). You can refer back to chapter 3 if necessary.