Question

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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Area = length x width

First, we need to find the length of the rectangle. This can be found by finding the difference in the x-coordinates of points A and B (since points A and B are on the same horizontal line).

Length = x-coordinate of B - x-coordinate of A
Length = 5 - 2
Length = 3

Next, we need to find the width of the rectangle. This can be found by finding the difference in the y-coordinates of points A and D (since points A and D are on the same vertical line).

Width = y-coordinate of A - y-coordinate of D
Width = -5 - (-1)
Width = -5 + 1
Width = 4

Now, we can find the area of the rectangle by multiplying the length and width:

Area = Length x Width
Area = 3 x 4
Area = 12

Therefore, the area of rectangle ABCD is 12 square miles.