Q:

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.