$($Language is Python$)-$ Define the MyRectangle$2$D class that contains:

o 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.$)$

o The data fields width and height with getter and setter methods.

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

and height.

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

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

o 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$).$

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

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

o 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

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

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

$$ displays the result of r$1.$contain$\_$point $(3,3),$

$$ displays the result of r$1.$contains$($MyRectangle$2$D$(4,5,10\mathrm{.}5,3\mathrm{.}2)),$

$$ and r$1.$overlaps$($MyRectangle$2$D$(3,5,2\mathrm{.}3,5\mathrm{.}4)).$