To calculate the total distance Samuel ran, we need to look at the specific coordinates and distances on the coordinate plane that represent his path. Since the coordinates or the graph isn't provided in this query, let's outline the general approach based on common scenarios involving a path on a coordinate plane:

1. If Samuel's path is straight-line segments:

   • Use the distance formula between points $(x_1, y_1)$ and $(x_2, y_2)$, which is: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ Apply this formula to each segment of Samuel's path and sum them up to find the total distance.

2. If Samuel's path is a geometric shape (e.g., a rectangle or triangle):

   • Use known formulas for perimeter or distances of the shape.

Could you please upload the coordinate plane or share the coordinates of Samuel's path? With that information, I can provide an exact calculation.

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Would you like to upload the path, or do you have any specific coordinates? Also, here are five related questions to deepen understanding:

1. What is the distance formula on a coordinate plane?
2. How would you find the perimeter of a rectangle or triangle on a coordinate plane?
3. What are the differences between Euclidean and Manhattan distances?
4. How can you verify that the segments of a path are equal in length?
5. What are some real-life applications of the distance formula?

Tip: Always double-check the coordinates and distances by labeling them clearly on the graph.