Apply the techniques of using the coordinates to find the length and the with 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)
8 square miles
-12 miles
12 square miles
12 miles
To find the length and width of the rectangle, we can use the distance formula between two points:
1. Length (AB):
AB = sqrt((5-1)^2 + (-3-(-3))^2)
AB = sqrt(4^2 + 0)
AB = sqrt(16)
AB = 4 miles
2. Width (BC):
BC = sqrt((5-5)^2 + (-1-(-3))^2)
BC = sqrt(0 + 2^2)
BC = sqrt(4)
BC = 2 miles
To find the perimeter of the rectangle, we can add the length and width and multiply by 2 as it is a rectangle:
Perimeter = 2(length + width)
Perimeter = 2(4 + 2)
Perimeter = 2(6)
Perimeter = 12 miles
Therefore, the perimeter of the polygon is 12 miles.