Question

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

−12 miles
negative 12 miles

12 square miles
12 square miles

12 miles
12 miles

8 square miles

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

To find the perimeter of the rectangle, we add up all the sides:
Perimeter = 2(Length + Width) = 2(4 + 2) = 2(6) = 12 miles

Therefore, the perimeter of the rectangle ABCD is 12 miles.