Develop an implementation of your Rectangle API from Exercise 3.2.1 that takes advantage of the Interval data type to simplify and clarify the code. Exercise 3.2.1                     Consider the...

Develop an implementation of your Rectangle API from Exercise 3.2.1 that takes advantage of the Interval data type to simplify and clarify the code.

Exercise 3.2.1

Consider the following data-type implementation for axis-aligned rectangles, which represents each rectangle with the coordinates of its center point and its width and height: