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 8 square miles 8 square miles 12 miles

Answer 1

First, we calculate the length of the rectangle by finding the distance between points A and B. Using the distance formula:

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

Next, we calculate the width of the rectangle by finding the distance between points B and C. Using the distance formula:

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 the lengths of all four sides:

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

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