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(Geometry: two rectangles) Write a program that prompts the user to enter the center x-, y...

(Geometry: two rectangles) Write a program that prompts the user to enter the center x-, y-coordinates, width, and height of two rectangles and determines whether the second rectangle is inside the first or overlaps with the first, as shown in Figure 1. Test your program to cover all cases.

FIGURE 1 (a) A rectangle is inside another one. (b) A rectangle overlaps another one.

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