Answer:
Total distance = 30.3 units
Step-by-step explanation:
Coordinates for the location of Alanah, Mia, Teresa and Arena are,
Alanah → (2, 8)
Mia → (8, 16)
Teresa → (8, 2)
Arena → (14, 4)
Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Distance between Alanah and Mia = [tex]\sqrt{(16-8)^2+(8-2)^2}[/tex]
= [tex]\sqrt{100}[/tex]
= 10 units
Distance between Mia and Teresa = [tex]\sqrt{(16-2)^2+(8-8)^2}[/tex]
= 14 units
Distance between Teresa and Arena = [tex]\sqrt{(4-2)^2+(14-8)^2}[/tex]
= [tex]\sqrt{40}[/tex]
= 6.3 units
Total distance of Alanah's trip to Arena = 10 + 14 + 6.3
= 30.3 units
