The given points are:
A -4 3
B 0 2
C 2 4
D 0 -3
We use the distance formula to calculate for the length
of each segment.
D^2 = (x2 – x1)^2 + (y2 – y1)^2
For segment AB:
D^2 = (0 + 4)^2 + (2 – 3)^2 = 17
D = sqrt 17
For segment BC:
D^2 = (2 - 0)^2 + (4 - 2)^2 = 8
D = sqrt 8
For segment CD:
D^2 = (0 - 2)^2 + (-3 – 4)^2 = 53
D = sqrt 53
For segment DA:
D^2 = (-4 - 0)^2 + (3 + 3)^2 = 52
D = sqrt 52
Getting the sum of all the segments will give the
perimeter.
Perimeter = sqrt 17 + sqrt 8 + sqrt 53 + sqrt 52
Perimeter = 21.44
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