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 square miles 12 square miles −12 miles negative 12 miles 8 square miles 8 square miles 12 miles
To find the length and width of the rectangle, we need to calculate the distance between two points.
1. Length of the rectangle: Distance between points A and B
Length = √((5-1)^2 + (-3-(-3))^2)
Length = √(16 + 0)
Length = √16
Length = 4 miles
2. Width of the rectangle: Distance between points B and C
Width = √((5-5)^2 + (-1-(-3))^2)
Width = √(0 + 4)
Width = √4
Width = 2 miles
Now we can find the perimeter of the rectangle by adding all sides:
Perimeter = 2(Length + Width)
Perimeter = 2(4 + 2)
Perimeter = 2(6)
Perimeter = 12 miles
Therefore, the perimeter of the polygon is 12 miles.