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

12 square miles
12 square miles

12 miles
12 miles

8 square miles
8 square miles

−12 miles

Answer 1

To find the length and width of the rectangle, we can use the coordinates given for points A, B, C, and D.

Length = Distance between points A and B = |5-1| = 4 units = 4 miles
Width = Distance between points A and D = |-1-(-3)| = 2 units = 2 miles

To find the perimeter of the rectangle, we can use the formula:

Perimeter = 2(length + width)
Perimeter = 2(4 + 2) = 2(6) = 12 miles

Therefore, the perimeter of the polygon is 12 miles.