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 verticals point A (1, -3) point B (5, -3), point C (5, -1), and point D (1, -1). (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length and width of the rectangle, we can use the distance formula which is:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

For the length AB, we have:
AB = √((5 - 1)^2 + (-3 - (-3))^2)
AB = √(4^2 + 0^2)
AB = √16
AB = 4 miles

For the width AD, we have:
AD = √((1 - 1)^2 + (-1 - (-3))^2)
AD = √(0^2 + 2^2)
AD = √4
AD = 2 miles

To find the perimeter of the rectangle, we add up all the sides:
Perimeter = AB + BC + CD + DA
Perimeter = 4 + 2 + 4 + 2
Perimeter = 12 miles

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