Answer:
B. 21.6 units
Explanation:
The polygon in the picture seems to be irregular, so to find the perimeter we should try to find each length of the 4 sides. We can find the vertical distance, horizontal distance, then using the Pythagoras theorem to find the line length.
1. first side
The length from (-4, 0) to (2, 3) should be:
y= 2-(-4)= 6
x= 3-0= 3
a= [tex]\sqrt{3^{2}+6^{2}}[/tex]= [tex]\sqrt{45}[/tex]
a= 6.70
2. second side
The length from (2, 3) to (4, 0) should be:
y= 4-2= 2
x= 0-3= -3
b= [tex]\sqrt{2^{2}+(-3)^{2}}[/tex]= [tex]\sqrt{13}[/tex]
b= 3.60
3. third side
The length from (4, 0) to (0, -4) should be:
y= 0-4= -4
x= -4-0= -4
c= [tex]\sqrt{(-4)^{2}+4^{2}}[/tex]= [tex]\sqrt{32}[/tex]
c= 5.65
4. fourth side
The length from (0, -4) to (-4, 0)should be:
y= -4-0= -4
x= 0-(-4)= 4
d= [tex]\sqrt{(-4)^{2}+4^{2}}[/tex]= [tex]\sqrt{32}[/tex]
d=5.65
Perimeter = a + b + c + d
Perimeter = 6.70 + 3.60 + 5.65 + 5.65 = 21.6
