In C#$,$ no top level statements.

Tip: Create a Class Library and add it to your project.

Assignment $2$: Shape Area Calculator

Objective: Design a set of classes to compute the area of various shapes $($e$.$g$.,$ Circle, Rectangle, Triangle$).$ Start with an abstract class Shape with the abstract methods CalculateArea$()$ and CalculatePerimeter$().$

Shape Area Perimeter Terms

Circle A $=\backslash$pi $\backslash$times r$2$ Circumference $=2\backslash$pi r r $=$ radius of the circle

Triangle A $=(1)/(2)\backslash$times b $\backslash$times h S $=$ a$+$b$+$c b $=$ base

h $=$ height

a$,$b and c are the sides of the triangle

Square A $=$ a$2$ P $=4$a a $=$ length of side

Rectangle A $=$ l $\backslash$times w P $=2($l $+$ w$)$ l $=$ length

w $=$ width

Parallelogram A $=$ b $\backslash$times h P $=2($a$+$b$)$ a $=$ side

b$=$base

h$=$vertical height

Requirements:

Abstract base class called Shape with common Properties $\{$get; set;$\}$ USE BACKING FIELD VARIABLES of Height and Width, you can assume that the a Circles radius is half of either the Height or Width.

Three derived classes Circle, Square, Triangle

Store the objects in a Collection object $($List$,$ Array, HashSet, etc...$)$ objects in the collection will be of type Shape

Loop through the list calling CalculateArea and CalculatePerimeter

The output should display the Object Type $($Circle$,$ Square or Triangle$)$ the values used to initialize the shape, the area, and the perimeter