Final answer:
The dimensions of the rectangle are found by calculating the distances between vertices. The base is 5 units and the height is 9 units.
Step-by-step explanation:
To find the dimensions of a rectangle with vertices A(-4, 8), B(1, 8), C(1, -1), and D(-4, -1), we can calculate the distances between the pairs of points that represent the sides of the rectangle.
For the base AB or CD, the y-coordinates are the same (either 8 or -1), so we only need to look at the difference in x-coordinates. For AB, this is |1 - (-4)| = 5 units. For the height AD or BC, the x-coordinates are the same (either -4 or 1), so we only need to look at the difference in y-coordinates. For AD, this is |8 - (-1)| = 9 units.
Therefore, the correct answer is C) The base is 5 units, and the height is 9 units.
To find the dimensions of the rectangle, we can use the coordinates of the vertices. The base of the rectangle is the distance between points A and B on the x-axis, which is 1 - (-4) = 5 units. The height of the rectangle is the distance between points B and C on the y-axis, which is 8 - (-1) = 9 units. Therefore, the dimensions of the rectangle are 5 units for the base and 9 units for the height.