Question

Find the area of a rectangle ABCD that has verticies point a(2,-5), point b(5,-5), point c(5,-1), and point D (2,-1) in square miles.

Answer 1

To find the area of the rectangle ABCD, we need to find the length of the base (side AB) and the height (side BC).

The length of the base AB can be found using the distance formula:
AB = √[(5-2)^2 + (-5-(-5))^2]
AB = √[3^2 + 0^2]
AB = √(9)
AB = 3 miles

The height BC can also be found using the distance formula:
BC = √[(5-5)^2 + (-1-(-5))^2]
BC = √[0^2 + 4^2]
BC = √(16)
BC = 4 miles

Now, we can find the area of the rectangle:
Area = base x height
Area = 3 miles x 4 miles
Area = 12 square miles

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