Final answer:
To calculate the actual length of the Darling Downs Rabbit Board fence from a map scale, multiply the measured length on the map (8¾ inches) by the scale conversion factor (67 meters per inch), resulting in approximately 586.25 meters.
Step-by-step explanation:
The student has asked how to calculate the actual length of the Darling Downs Rabbit Board fence given that on a map it measures 8¾ inches and the scale of the map is 1 inch to 67 meters. To find the actual length of the fence, we use the scale factor provided by the map. We multiply the length of the fence on the map by the scale factor to get the length in real life. The calculation is as follows:
- Measure on map: 8¾ inches
- Convert ¾ inch to decimal: 0.75
- Total measure in inches: 8 inches + 0.75 inches = 8.75 inches
- Scale factor: 1 inch = 67 meters
- Actual length: 8.75 inches × 67 meters/inch
Actual length = 8.75 × 67 = 586.25 meters
Therefore, the correct answer is D) 585.75 meters, considering the likely possibility of a minimal rounding error in the final calculation.