Final answer:
The area of the polygon with vertices N(-4,1) and P(1,1), assumed to be a rectangle, is calculated as the product of the lengths of its horizontal and vertical sides, yielding an area of 5 square units. correct answer is A
Step-by-step explanation:
To find the area of the polygon with the given vertices (N(-4,1), P(1,1)), we must first determine the shape of the polygon. Given that both points have the same y-coordinate, they form a horizontal line. This suggests that the polygon is a rectangle or a square.
Assuming it is a rectangle with vertical sides parallel to the y-axis, the length of the horizontal side is given by the difference in the x-coordinates of the points N and P, which is |1 - (-4)| = 5 units.
As the other set of sides are vertical and we do not have the coordinates for the vertices on the other horizontal side, we can infer that this is a rectangle (or square) lying on the x-axis.
Therefore, the vertical side would have a length of 1 unit, which is the y-coordinate of N and P. The area of the rectangle is therefore the product of the lengths of the horizontal and vertical sides.
Area = length × width
= 5 units × 1 unit
= 5 square units.