9514 1404 393
Answer:
12.76 units
Step-by-step explanation:
The distance formula is useful for finding the lengths of segments between given coordinates.
d = √((x2 -x1)² +(y2 -y1)²)
Then the lengths of the line segments are ...
CD = √((1-2)² +(1-4)²) = √10
DE = √((5-1)² +(0-1)²) = √17
EF = √((3-5)² +(4-0)²) = √20
FC = √((2-3)² +(4-4)²) = 1
Then the perimeter is ...
√10 +√17 +√20 +1 ≈ 12.7575 ≈ 12.76 units
__
In the attached, the length of "polyline" CDEF is shown as 11.76. The segment FC is shown separately.
