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 miles
12 miles
8 square miles
8 square miles
12 square miles
To find the length of the rectangle, we can find the distance between points A and B, or points C and D.
Using the distance formula:
Length = √((x2 - x1)^2 + (y2 - y1)^2)
Length = √((5 - 1)^2 + (-3 - (-3))^2)
Length = √(16 + 0)
Length = √16
Length = 4 miles
To find the width of the rectangle, we can find the distance between points B and C, or points A and D.
Width = √((x2 - x1)^2 + (y2 - y1)^2)
Width = √((5 - 5)^2 + (-1 - (-3))^2)
Width = √(0 + 4)
Width = √4
Width = 2 miles
The perimeter of a rectangle is given by:
Perimeter = 2(length + width)
Perimeter = 2(4 + 2)
Perimeter = 2(6)
Perimeter = 12 miles
Therefore, the perimeter of polygon ABCD is 12 miles.