Question

Define a Polygon interface that has methods area() and perimeter(). Then im- plement classes for Triangle, Quadrilateral, Pentagon, Hexagon, and Octagon, which implement this interface, with the obvious meanings for the area() and perimeter() methods. Also implement classes, IsoscelesTriangle, Equilateral- Triangle, Rectangle, and Square, which have the appropriate inheritance rela- tionships. Finally, write a simple user interface, which allows users to create polygons of the various types, input their geometric dimensions, and then out- put their area and perimeter. For extra effort, allow users to input polygons by specifying their vertex coordinates and be able to test if two such polygons are similar.

Answer 1

To define a Polygon interface with area() and perimeter() methods, create an interface called Polygon. Implement classes for various types of polygons and allow users to input dimensions to calculate and output area and perimeter.

Step-by-step explanation:

To define a Polygon interface with area() and perimeter() methods, we can create an interface called Polygon. By implementing this interface, the classes for Triangle, Quadrilateral, Pentagon, Hexagon, and Octagon will all have the necessary area() and perimeter() methods defined.

Additionally, we can implement classes for IsoscelesTriangle, EquilateralTriangle, Rectangle, and Square, which will inherit from the appropriate classes.

For the user interface, we can allow users to input the dimensions of the polygons and then calculate and output their area and perimeter.