Question

Find the perimeter of the polygon with the given vertices. C(4, -1), D(4,−5), E(2,−3)

Answer 1

Answer:

8 units

Step-by-step explanation:

find the distance of the lines through coordinates given

distance formula: $\sqrt{(x_{1}-x_{2})+(y_{1} -y_{2} ) }$

i) CD=$\sqrt{(4-4)^2 +(-1+5)^2}$

  CD=$\sqrt{0+4^2}$

  CD=4 units

ii) DE=$\sqrt{(4-2)^{2}+(-5+3)^2 }$

 DE=$\sqrt{(2)^2+(-2)^2}$

 DE=$\sqrt{8}$

 DE= 2 units

iii) ED=$\sqrt{(2-4)^2+(-3+1)^2}$

   ED=$\sqrt{(-2)^2+(-2)^2}$

   ED=$\sqrt{8}$

   ED= 2 units

perimeter of polygon= 2 units+ 2 units+ 4 units

                                  =8 units