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

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

Width = sqrt((5 - 5)^2 + (-1 - (-3))^2)
Width = sqrt(0^2 + 2^2)
Width = sqrt(4)
Width = 2 miles

Now, to find the perimeter of the rectangle, we add up all the sides:

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

So, the perimeter of the rectangle is 12 miles.