Final answer:
Layla will have to walk a total of 12 meters to first meet her lab partner, then chat with her friend, and finally return to the water fountain line by summing up the individual distances of each leg of her walk.
Step-by-step explanation:
The question involves calculating the total distance Layla will have to walk to meet her lab partner, chat with her friend, and then return to the water fountain line. We can visualize Layla's movement as a geometric path comprising two legs plus the return to her original position.
Firstly, Layla walks 5 meters straight ahead to her lab partner. Then, she turns and walks 1 meter to her right to talk to her friend. After chatting with her friend, Layla needs to walk back to the original spot, which involves walking 1 meter to her left and then 5 meters back.
The total distance Layla will walk is the sum of all these individual distances:
- 5 meters (to lab partner)
- 1 meter (to best friend)
- 1 meter (back towards the line direction)
- 5 meters (to return to the line)
Total distance = 5 m + 1 m + 1 m + 5 m = 12 meters.
Thus, Layla will have to walk a total of 12 meters to complete this sequence of actions.