Question

Sunita creates a scale model of an aeroplane. The scale of the model is 5 cm to 13 m. Sunita's model has a wingspan of 24 cm. What is the wingspan of the real aeroplane?

Answer 1

We have been given that Sunita creates a scale model of an aeroplane. The scale of the model is 5 cm to 13 m. Sunita's model has a wingspan of 24 cm. We are asked to find wingspan of the real aeroplane.

We will use proportion to solve our given problem.

`\frac{\text{Wingspan of real plane}}{\text{Wingspan of model aeroplane}}=\frac{\text{Real length}}{\text{Scale length}}`

`\frac{\text{Wingspan of real plane}}{\text{24 cm}}=\frac{\text{13 m}}{\text{5 cm}}`

`\frac{\text{Wingspan of real plane}}{\text{24 cm}}\cdot\text{24 cm} =\frac{\text{13 m}}{\text{5 cm}}\cdot\text{24 cm}`

`\text{Wingspan of real plane}=\text{13 m}\cdot4.8`

`\text{Wingspan of real plane}=62.4\text{ m}`

Therefore, the wingspan of real plane is 62.4 meters.