Perimeter of the given polygon is 16.94 units.
To measure the distance between two points
and
is given by the ex[pression,
Distance = 
By using this expression,
Distance between A(0, 4) and B(2, 0) = 
=
units
Distance between B(2, 0) and C(2, -2) = 
= 2 units
Distance between C(2, -2) and D(0, -2) = 
= 2 units
Distance between D(0 -2) and E(-2, 2) = 
=
units
Distance between E(-2, 2) and F(-2, 4) = 
= 2 units
Distance between F(-2, 4) and A(0, 4) = 
= 2 units
Perimeter of ABCDEF = AB + BC + CD + DE + EF + FA
= 
= 
= 16.94 units
Therefore, perimeter of the given polygon in the graph attached is 16.94 units.
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