Find the area of rectangle ABCD that has vertices point A (2,−5) , point B (5,−5) , point C (5,−1) , and point D (2,−1) in square miles.(1 point)

1 answer

To find the area of the rectangle, we can use the formula for the area of a rectangle:

Area = length * width

First, we need to find the length and width of the rectangle. We can do this by finding the distance between the x-coordinates and the distance between the y-coordinates of the vertices.

Length = |A_x - B_x| = |2 - 5| = 3 units
Width = |A_y - D_y| = |-5 - (-1)| = 4 units

Now, we can calculate the area:

Area = 3 units * 4 units = 12 square units

Since the area is measured in square miles, the area of rectangle ABCD is 12 square miles.