Answer:
8 units
Step-by-step explanation:
find the distance of the lines through coordinates given
distance formula: [tex]\sqrt{(x_{1}-x_{2})+(y_{1} -y_{2} ) }[/tex]
i) CD=[tex]\sqrt{(4-4)^2 +(-1+5)^2}[/tex]
CD=[tex]\sqrt{0+4^2}[/tex]
CD=4 units
ii) DE=[tex]\sqrt{(4-2)^{2}+(-5+3)^2 }[/tex]
DE=[tex]\sqrt{(2)^2+(-2)^2}[/tex]
DE=[tex]\sqrt{8}[/tex]
DE= 2 units
iii) ED=[tex]\sqrt{(2-4)^2+(-3+1)^2}[/tex]
ED=[tex]\sqrt{(-2)^2+(-2)^2}[/tex]
ED=[tex]\sqrt{8}[/tex]
ED= 2 units
perimeter of polygon= 2 units+ 2 units+ 4 units
=8 units