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) .

Answer 1

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

Length = √((x2 - x1)^2 + (y2 - y1)^2)
Width = √((x3 - x2)^2 + (y3 - y2)^2)

Using the coordinates given for the vertices of the rectangle:

Length = √((5 - 1)^2 + (-3 - (-3))^2) = √(4^2 + 0) = √16 = 4 miles
Width = √((5 - 5)^2 + (-1 - (-3))^2) = √(0 + 2^2) = √4 = 2 miles

Now that we have the length and width, we can find the perimeter of the rectangle by adding all four sides:

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

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

Answer 2

square miles or miles

Answer 3

The perimeter of the rectangle ABCD is 12 miles.