Question

Shaun's hobby is building model airplanes and ships from kits. One of his projects is an historic sailing ship. The actual ship is related to the model by a scale factor of 200. a) If the length of the model is 25 centimeters, what is the length of the actual ship?

Answer 1

Step-by-step explanation:

the scale factor is 200. that means 200:1, the original ship is 200 times larger than the model.

and that means that every length information about any part is also 200:1.

in our case the model is 25 cm long, so the real ship is

25 × 200 = 50 × 100 = 5000 cm

long.

5000 cm = 50 m

as 100 cm = 1 meter.

so, the real ship is 5000 cm = 50 meters long.