Puck is making a scale model of an airplane. The actual airplane is 98 feet long. The scale of the model is 1 cm : 4.7 ft. What is the length of the model? [Round to the nearest hundredth, if necessary.]

Use a proportion. Cross multiply and solve for x.

1 / 4.7 = x / 98

To find the length of the model, we need to use the given scale, which is 1 cm : 4.7 ft. This means that for every 1 centimeter on the model, it represents 4.7 feet of the actual airplane.

To find out how many centimeters the length of the actual airplane is represented by on the model, we can set up a proportion. We have:

1 cm : 4.7 ft = x cm : 98 ft

Cross-multiplying, we get:

4.7 ft * x cm = 1 cm * 98 ft

4.7x = 98

Now, we'll solve for x:

x = 98 / 4.7
x ≈ 20.85

Therefore, the length of the model is approximately 20.85 cm (rounded to the nearest hundredth).