1. **State the problem:**
We have a path represented on a graph with segments measured in centimeters, and a scale of 1 cm = 100 m. We want to find the actual lengths of each segment in meters.
2. **Formula and rules:**
To convert from centimeters on the graph to meters in real life, use the formula:
$$\text{Actual length (m)} = \text{Length on graph (cm)} \times 100$$
3. **Calculate each segment:**
- First horizontal segment: $1.8 \text{ cm} \times 100 = 180 \text{ m}$
- First vertical segment: $1.4 \text{ cm} \times 100 = 140 \text{ m}$
- Second horizontal segment: $1.8 \text{ cm} \times 100 = 180 \text{ m}$
- Second vertical segment: $1.4 \text{ cm} \times 100 = 140 \text{ m}$
- Third horizontal segment: $1.0 \text{ cm} \times 100 = 100 \text{ m}$
4. **Summary:**
The actual lengths of the segments are 180 m, 140 m, 180 m, 140 m, and 100 m respectively.
5. **Check against given options:**
The given options (740 m, 7.4 m, 2.2 m, 220 m, 58 m) do not match the calculated lengths, so the correct lengths based on the scale are as above.
**Final answer:**
The actual lengths of the path segments are 180 m, 140 m, 180 m, 140 m, and 100 m.
Path Lengths B62Faa
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.