Apply the techniques of using the coordinates to find the length and the width of the polygon. Use the length and the width to find the perimeter of the polygon in miles. Rectangle ABCD has vertices point A (1,−3) , point B (5, −3) , point C (5, −1) , and point D (1, −1) .(1 point)

Responses

8 square miles
8 square miles

−12 miles
negative 12 miles

12 square miles
12 square miles

12 miles
12 miles
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1 answer

To find the length and width of the rectangle, we can use the distance formula between two points in a coordinate plane:

Length of rectangle = distance between points A and B = √((5-1)^2 + (-3-(-3))^2) = √(16 + 0) = √16 = 4 miles

Width of rectangle = distance between points A and D = √((1-1)^2 + (-3-(-1))^2) = √(0 + 4) = √4 = 2 miles

Therefore, the perimeter of the rectangle is 2*(length + width) = 2*(4 + 2) = 2*6 = 12 miles.

So, the correct response is:
12 miles