Final answer:
A distance of 2.6 inches on a floor plan with a scale of 1 inch to 8 feet represents an actual distance of 20.8 feet when using the scale factor to convert the measurements.
Step-by-step explanation:
If the scale on a floor plan is 1 inch to 8 feet, and a certain distance measures 2.6 inches on the floor plan, you would first figure out the scale factor. This scale factor is a ratio that describes how many inches on the plan correspond to how many feet in real life. In this case, for each inch on the plan, there are 8 feet in reality.
To find the actual distance that the 2.6 inches represent, you multiply the number of inches by the scale factor:
- 2.6 inches × 8 feet/inch = 20.8 feet
Therefore, a distance of 2.6 inches on the floor plan represents an actual distance of 20.8 feet.