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 vertex point A (1,-3), point B (5,-3), point C (5,-1), point D (1,-1). (1 point)
A -12 miles
B 8 square miles
C 12 square miles
D 12 miles
To find the length of the rectangle, we calculate the difference in the x-coordinates of points A and B (length is parallel to the x-axis), and to find the width of the rectangle, we calculate the difference in the y-coordinates of points A and D (width is parallel to the y-axis).
Length = 5 - 1 = 4 miles
Width = -1 - (-3) = 2 miles
To find the perimeter of the rectangle, we add up the lengths of all four sides:
Perimeter = 2(Length + Width)
Perimeter = 2(4 + 2)
Perimeter = 2(6)
Perimeter = 12 miles
The correct answer is:
C 12 square miles