Answer:
Total distance traveled = 28 blocks
Step-by-step explanation:
We have distance between (a,b) and (c,d) given by [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]
Distance from home at (0, 0) to the mall at (0, 5) [tex]=\sqrt{(0-0)^2+(5-0)^2}=5\texttt{ blocks}[/tex]
Distance from mall at (0, 5) to a movie theater at (9, 5) [tex]=\sqrt{(9-0)^2+(5-5)^2}=9\texttt{ blocks}[/tex]
Distance from a movie theater at (9, 5) to the store at (9, 0) [tex]=\sqrt{(9-9)^2+(0-5)^2}=5\texttt{ blocks}[/tex]
Distance from the store at (9, 0) to home at (0, 0)[tex]=\sqrt{(0-9)^2+(0-0)^2}=9\texttt{ blocks}[/tex]
Total distance traveled = 5+9+5+9 = 28 blocks
