Answer:
The answer to your question is below
Step-by-step explanation:
See the picture below
Data
A (-2, 3)
B (4, 5)
I plotted the points C (4, 3) and D (-2, 5)
Distance
dAC = [tex]\sqrt{(4 + 2)^{2}+ (3-3)^{2}}[/tex]
= [tex]\sqrt{(6)^{2}}[/tex]
= 6
dBD = [tex]\sqrt{(4 + 2)^{2}+ (5 - 5)^{2}}[/tex]
= [tex]\sqrt{36}[/tex]
= 6
dAD = [tex]\sqrt{(-2 + 2)^{2} + (3 - 5)^{2}}[/tex]
= [tex]\sqrt{(-2)^{2}}[/tex]
= 2
dBC = [tex]\sqrt{(4 - 4)^{2} + (5 - 3)^{2}}[/tex]
dBC = [tex]\sqrt{(2)^{2}}[/tex]
dBC = 2
Total distance = dAC + dBD + dAD + dBC
Total distance = 6 + 6 + 2 + 2
= 16
I calculate the length of each side and then I sun them up.