A rectangle has the following vertices: A(-1,9), B(0, 9), C(0, -8), D(-1, -8). What is the area of rectangle ABCD?
18 square units
34 square units
36 square units
17 square units

Correct option: Fourth one -> 17 square units

Step-by-step explanation:

The points A and B have the same y-coordinate, so they create a horizontal segment that will be the base of the rectangle.

The points B and C have the same x-coordinate, so they create a vertical segment that will be the height of the rectangle.

The length of the side AB is the distance from A to B. They have the same y-coordinate, so the distance is the difference of the x-coordinates:

side AB = |0 - (-1)| = 1 unit

The length of the side BC is the distance from B to C. They have the same x-coordinate, so the distance is the difference of their y-coordinates:

side BC = |-8 - 9| = 17 unit

Then the area of the rectangle is:

Area = AB * BC = 1 * 17 = 17 square units

Correct option: Fourth one