Subjects measurement

Path Lengths B62Faa

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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.