Final answer:
To determine the length of Lily's office on the blueprint, multiply the actual length (126.5 ft) by the scale factor of 1/3 to get 42.17 ft, which corresponds to option a.
Step-by-step explanation:
To find the length of Lily's office on the blueprint using a scale factor of 1/3, you need to multiply the actual length by the scale factor. The actual length of the office is 126.5 ft. Multiplying this by the scale factor of 1/3 gives:
Length on blueprint = Actual length × Scale factor
Length on blueprint = 126.5 ft × 1/3
Length on blueprint = 42.17 ft
So the length of Lily's office on the blueprint will be 42.17 feet, option a.