Final answer:
The area of the region bounded by the lines y = 4 - 2x and y = 2 - 2x is not finite since the lines are parallel and do not form a closed bounded area. Hypothetically, if considering a unit interval, the area would be 2 square units.
Step-by-step explanation:
To find the area of the region bounded by the two lines y = 4 - 2x and y = 2 - 2x, we need to follow several steps. First, we should visualize or sketch the lines on a graph to observe where they intersect and form a bounded region. Since both equations have the same slope (-2), they are parallel and will never intersect. However, they are offset from each other by a constant amount, 2 units (the difference between the y-intercepts of the two lines).
The area between these two lines, over any interval in x, will be a rectangle with height equal to the difference in y-intercepts, which is 2 units. To find the width of this rectangle, we need to decide over what interval of x we are considering. However, since the question does not specify an interval, and because the lines are parallel, the area in question is actually infinite. If we assume the question is asking about a unit interval (which is not specified), we would calculate the area as the product of the height and the width (which would be 1 unit in this case).
The hypothetical area for a unit interval is therefore 2 square units. Since the possible answers suggest we are looking for a numerical area and the area of infinite parallel strips isn't a finite number, there may be a misunderstanding in the question as posed, or more information is needed to specify the interval of x being considered.