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)

Question

Responses

8 square miles
8 square miles

−12 miles
negative 12 miles

12 square miles
12 square miles

12 miles

Answer 1

To find the length and width of the rectangle, we can use the distance formula.

Length AB: sqrt((5-1)^2 + (-3-(-3))^2) = sqrt(16) = 4 miles
Width BC: sqrt((5-5)^2 + (-1-(-3))^2) = sqrt(4) = 2 miles

Perimeter = 2(Length + Width) = 2(4 + 2) = 2(6) = 12 miles

Therefore, the perimeter of the polygon is 12 miles.