Part $5$

rectangle$\_$area

Define a function named rectangle$\_$area with one parameter of type Rectangle $($defined in

the provided data.py file$).$ This function must compute and return the area of the provided

rectangle with the assumption that the rectangle is properly axis$-$aligned $($i$.$e$.,$ the top$-$left corner

is above and to the left of the bottom$-$right corner, the vertical sides of the rectangle are parallel

to the y$-$axis, and the horizontal sides of the rectangle are parallel to the x$-$axis$).$# Representation of a two$-$dimensional point.

class Point:

# Initialize a new Point object.

# input: $x-$coordinate as a float

# input: $y-$coordinate as a float

def $\_-($self$,x$ : float, $y$ : float$)$:

self. $x=x$

self.y $=y$

# Provide a developer$-$friendly string representation of the object.

# input: Point for which a string representation is desired.

# output: string representation

def repr $($self$)->$ str:

return 'Point$(\{\},\{\})\text{'}.$format$(*$args: self.x$,$ self.y$)$

# Compare the Point object with another value to determine equality

# input: Point against which to compare

# input: Another value to compare to the Point

# output: boolean indicating equality

def eg $($self$,$ other$)->$ bool:

return $($other is self or

type$($other$)==$ Point and

math.isclose$($self$.$x$,$ other.x$)$ and

math.isclose$($self$.$y$,$ other.y$))$# Representation of an axis$-$aligned rectangle.

class Rectangle:

# Initialize a new Rectangle object.

# input: top$-$left corner as a Point

# input: bottom$-$right corner as a Point

def $($self$,$ top$\_$left: Point, bottom$\_$right: Point$)$:

self.top$\_$left $=$ top$\_$left

self.bottom$\_$right $=$ bottom$\_$right

# Provide a developer$-$friendly string representation of the object.

# input: Rectangle for which a string representation is desired.

# output: string representation

def repr $($self$)->$ str:

return 'Rectangle$(\{\},\{\})\text{'}.$format$(*$args: self.top$\_$left, self.bottom$\_$right$)$

# Compare the Rectangle object with another value to determine equality

# input: Rectangle against which to compare

# input: Another value to compare to the Rectangle

# output: boolean indicating equality

def eq $($self$,$ other$)$ bool:

return $($other is self or

type$($other$)==$ Rectangle and

self.top$\_$left $==$ other.top$\_$left and

self.bottom$\_$right $==$ other.bottom$\_$right$)$# Representation of a two$-$dimensional point.

class Point:

# Initialize a new Point object.

# input: $x-$coordinate as a float

# input: $y-$coordinate as a float

def $\_-($self$,x$ : float, $y$ : float$)$:

self. $x=x$

self.y $=y$

# Provide a developer$-$friendly string representation of the object.

# input: Point for which a string representation is desired.

# output: string representation

def repr $($self$)->$ str:

return 'Point$(\{\},\{\})\text{'}.$format$(*$args: self.x$,$ self.y$)$

# Compare the Point object with another value to determine equality

# input: Point against which to compare

# input: Another value to compare to the Point

# output: boolean indicating equality

def eg $($self other$)->$ bool:

return $($other is self or

type$($other$)=$ Point and

math.isclose$($self$.$x$,$ other.x$)$ and

math.isclose$($self$.$y$,$ other.y$))$

# Representation of an axis$-$aligned rectangle.

class Rectangle:

# Initialize a new Rectangle object.

# input: top$-$left corner as a Point

# input: bottom$-$right corner as a Point

def $($self$,$ top$\_$left: Point, bottom$\_$right: Point$)$:

self.top$\_$left $=$ top$\_$left

self.bottom$\_$right $=$ bottom$\_$right

$$

# Provide a developer$-$friendly string representation of the object.

# input: Rectangle for which a string representation is desired.

# output: string representation

def repr self$)$ str:

return 'Rectangle$(\{\},\{\})\text{'}.$format$(*$args: self.top$\_$left, self.bottom$\_$right$)$

# Compare the Rectangle object with another value to determine equality:

# input: Rectangle against which to compare

# input: Another value to compare to the Rectangle

# output: boolean indicating equality

def eg $($self other$)->$ bool:

return $($other is self or

type$($other$)=$ Rectangle and

self.top$\_$left $=$ other.top$\_$left and

self.bottom$\_$right $=$ other.bottom$\_$right$)$