William is building a scale model of a Boeing 747-400 aircraft. The wingspan of the modelis approximately 8 feet inches. If the scalefactor of the model is approximately 1:24, what is the actual wingspan of a Boeing 747-400 aircraft?
Accepted Solution
A:
Answer:212 ft Step-by-step explanation:I am assuming that the wingspan of William's model is 8 ft 10 in.
If the scale is 1:24, then model/real = 1/24
Multiply each side by real: model = real/24
Multiply each side by 24: real = 24 × model
real = 24 × (8 ft 10 in)
Convert inches to feet: real = 24 × (8 ft + ¹⁰/₁₂ ft)
Distribute the 24: real = 24 × 8 ft + 24 × ¹⁰/₁₂ ft
real = 192 ft + 20 ft
real = 212 ft
The actual wingspan of a Boeing 747-400 aircraft is approximately 212 ft.