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
8 square miles
8 square miles
12 miles
12 miles
12 square miles
12 square miles
−12 miles
negative 12 miles
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To find the length of the rectangle, we calculate the difference in the x-coordinates of points A and B:
Length = 5 - 1 = 4 miles
To find the width of the rectangle, we calculate the difference in the y-coordinates of points A and D:
Width = (-1) - (-3) = 2 miles
To find the perimeter of the rectangle, we add 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 is 12 miles.