Apply the techniques of using the coordinates to find the length and the width of the particle I use the lift and the width to find the perimeter of the polygon Mass rectangle ABCD has vertices points A (1,-3) point B (5, -3) point C (5,-1) and point D (1,-1)
8 square miles
12 miles
12 square miles
-12 miles
To find the length and width of the rectangle, we can use the coordinates given for points A, B, C, and D.
Length:
Length = AB = distance between points A and B
Length = √( (5-1)^2 + (-3-(-3))^2 )
Length = √(4^2 + 0^2)
Length = √16
Length = 4 units
Width:
Width = AD = distance between points A and D
Width = √( (1-1)^2 + (-1-(-3))^2 )
Width = √(0^2 + 2^2)
Width = √4
Width = 2 units
Perimeter:
Perimeter = 2(Length + Width)
Perimeter = 2(4 + 2)
Perimeter = 2(6)
Perimeter = 12 units
Therefore, the perimeter of the rectangle ABCD is 12 units.