Shahririyar is at a winter park with his family. They go sledding located at point (2, 12) first, then ice skating located at (2, -4), then skiing located at (-8, -4). What is the total distance traveled between these locations?

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To calculate the total distance traveled by Shahririyar, we will first find the distances between each pair of locations:

  1. Distance from sledding at (2, 12) to ice skating at (2, -4): The two points have the same x-coordinate (2). Therefore, the distance can be calculated using the absolute difference in the y-coordinates: \[ \text{Distance} = |12 - (-4)| = |12 + 4| = |16| = 16 \]

  2. Distance from ice skating at (2, -4) to skiing at (-8, -4): The two points have the same y-coordinate (-4). Therefore, the distance can be calculated using the absolute difference in the x-coordinates: \[ \text{Distance} = |-8 - 2| = |-10| = 10 \]

  3. Total distance traveled: Now, we add the distances calculated: \[ \text{Total Distance} = 16 + 10 = 26 \]

Therefore, the total distance traveled between these locations is \( \boxed{26} \).