Question

William is building a scale model of a Boeing 747-400 aircraft. The wingspan of the model

is approximately 8 feet inches. If the scale
factor of the model is approximately 1:24, what is the actual wingspan of a Boeing 747-400 aircraft?

Answer 1

212 ft

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.