Question

Sunita creates a scale model of an aeroplane.

The scale of the model is 5 cm to 8 m.

Sunita's model has a wingspan of 41 cm.

What is the wingspan of the real aeroplane?

Answer 1

The wingspan of the real aero plane is 65.6 cm

Explanation:

Here, we are to calculate what the wingspan of the real aero plane is given the length of the model and the comparison of the model to the real.

This can be best solved using a ratio approach.

What we have is that the model measures to the original at a ratio of 5:8

Hence at all times, the ratio we have must be 5 to 8

Now, we have a model length of 41cm and we want to calculate what the real span will be

Let the real

length be x cm

Thus mathematically;

5:8 = 41:x

5/8 = 41/x

5* x = 8 * 41

5x = 328

x = 328/5

x = 65.6 cm