$($Rectangle Data Type$)$ Define a data type called Rectangle in rectangle.py that represents a rectangle using $1$D intervals $($ie$,$ Interval objects$)$ to represent its x $($width$)$ and y $($height$)$ segments. The data type must support the following API: Instance variables$-$ x$-$interval of the rectangle, $\_$xint $($Interval$)-$ y$-$interval of the rectangle, $\_$yint $($Interval$)\_\_$init$\_\_($self$,$ xint, yint$)-$ Initialize the instance variables to the values of the corresponding parameters area$($self$)-$ Return the area of this rectangle perimeter$($self$)-$ Return the perimeter of this rectangle contains$($self$,$ x$,$ y$)-$ Return True if the rectangle self contains the point $($x$,$y$)$ and False otherwise intersects$($self$,$ other$)-$ Return True if the rectangle self intersects the rectangle other and False otherwise $\_\_$str$\_\_($self$)-$ Return a string representation of the rectangle self