Distance calculation example showing path length from point A to point C via point B.

The image illustrates the concept of distance as the length of the path between two points, specifically showing a journey from point A to point C via point B.

Problem:

We are given a path that goes from point A → B → C, with the following distances:
- From A to B: 4 meters
- From B to C: 3 meters
- From A to C directly: 5 meters (this is shown as a diagonal path)

But the total distance traveled along the path A → B → C is being calculated.

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Solution:

To find the total distance traveled from A to C via B, we add up the lengths of each segment of the path:

$$
\text{Distance} = AB + BC = 4\,\text{m} + 3\,\text{m} = 7\,\text{m}
$$

However, in the image, it says:
> "Distance here will be = 4m + 3m + 5m = 12 m"

This appears to be incorrect unless the path includes both the route A→B→C and the direct A→C path. But logically, if someone travels from A to B to C, they only cover AB and BC, not AC.

So let's analyze:

- The path taken is A → B → C.
- The segments are:
- AB = 4 m
- BC = 3 m
- So, total distance traveled = 4 + 3 = 7 meters

The direct distance from A to C is 5 meters (shown as a straight line), but this is not part of the path unless the person takes that route.

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Conclusion:

There seems to be a mistake in the image.

✔ Correct Distance (along the path A → B → C):
$$
4\,\text{m} + 3\,\text{m} = 7\,\text{m}
$$

✘ The image incorrectly adds 5 m (the direct A→C) to get 12 m, which would only make sense if the person went A→B→C→A or some other loop — but that’s not indicated.

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Final Answer:

The correct total distance traveled from A to C via B is 7 meters.

> 🟩 Correction: The distance should be $ 4\,\text{m} + 3\,\text{m} = 7\,\text{m} $, not 12 m.