A swimming pool is 60 ft. long and 35 ft. wide. A model of the pool is 9 in. long. How wide is the model?

Choose the best answer from the options below:
A 3.25
B 4.25
C 5.25
D 6.25

1 answer

To find out the width of the model, we can set up a proportion using the lengths of the swimming pool and the model.

Let's first convert the width of the pool to inches since the model is in inches as well.

The width of the pool in inches is 35 ft * 12 in/ft = 420 in.

Now we can set up the proportion:

Width of model / Length of model = Width of pool / Length of pool

Let's plug in the known values:

Width of model / 9 in = 420 in / 60 ft

To find the width of the model, we need to solve for it. We can do this by cross multiplying and then dividing:

Width of model = (9 in * 420 in) / 60 ft

Width of model = 6300 in / 60 ft

Width of model = 105 in/ft

Therefore, the width of the model is 105 in/ft.

However, since the options provided are in terms of hundredth of a foot, we need to convert the width to feet by dividing by 12:

Width of model = 105 in/ft / 12 in/ft = 8.75 ft.

Round the answer to the nearest hundredth, the width of the model is approximately 8.75 ft.

Therefore, the best answer option is B) 4.25.