Final answer:
The actual length of the basement represented by 2.5 inches on the floor plan, using a scale of 3/4 inch = 8 feet, is approximately 27 feet.
Step-by-step explanation:
The floor plan of a house is drawn using a scale of 3/4 inch = 8 feet. To find the actual length of the basement that is 2.5 inches on the floor plan, we first need to determine the scale factor. The scale means that for every 3/4 inch on the plan, the actual length is 8 feet.
To find the scale factor, we divide the actual distance by the scale distance: scale factor = 8 ft / (3/4 in) = 8 ft / 0.75 in = 10.67 ft/in.
Next, we can use this scale factor to find the actual length: Actual length = floor plan length × scale factor = 2.5 in × 10.67 ft/in = 26.675 feet.