python program geometry tool

Description: Suppose you are a software engineer at Shepards, a software company focusing on

developing simulation software and scientific computing tools. You are assigned to create a class

that can compute the attributes of a rectangle and the relationship between a rectangle and

another geometry object.

Below are the detailed requirements of the class that you need to develop.

Goals: Define the MyRectangle$2$D class that contains:

$1.$ Two double data fields named x and y specify the center of the rectangle with getter and

setter methods. $($Assume that the rectangle sides are parallel to x$-$ or y$-$axes.$)$

$2.$ The data fields width and height with getter and setter methods.

$3.$ A constructor that creates a default rectangle with $(0,0)$ for $($x$,$ y$)$ and $1$ for both width

and height.

$4.$ A method get$\_$area$()$ that returns the area of the rectangle.

$5.$ A method get$\_$perimeter$()$ that returns the perimeter of the rectangle.

$6.$ A method contain$\_$point$($x$1,$ y$1)$ that returns true if the specified point $($x$1,$ y$1)$ is inside

this rectangle $($see Figure $1$a$).$

$7.$ A method contains$($rectangle$\_2$d$)$ that returns true if the specified rectangle is inside this

rectangle $($see Figure $1$b$).$

$8.$ A method overlaps$($rectangle$\_2$d$)$ that returns true if the specified rectangle overlaps

with this rectangle $($see Figure $1$c$).$

Task I: Draw the UML diagram for the class and then implement the class.

Task II: Write a test program that

a$.$ creates a MyRectangle$2$D object r$1$ with $(4,4,10\mathrm{.}5,8\mathrm{.}9),$

b$.$ displays the area and perimeter of r$1,$

c$.$ displays the result of r$1.$contain$\_$point $(6,6),$

d$.$ displays the result of r$1.$contains$($MyRectangle$2$D$(8,10,20\mathrm{.}5,6\mathrm{.}2)),$

e$.$ and r$1.$overlaps$($MyRectangle$2$D$(6,10,4\mathrm{.}3,10\mathrm{.}4))$