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
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.
To find the width of the model, we need to set up a proportion using the measurements of the swimming pool and the model.
The length of the swimming pool is 60 ft and the length of the model is 9 inches. We can convert the length of the model to feet by dividing it by 12 (since 1 ft = 12 inches).
9 inches รท 12 = 0.75 ft
Now, we can set up the proportion:
Width of the model / Width of the swimming pool = Length of the model / Length of the swimming pool
Let's plug in the values we have:
Width of the model / 35 ft = 0.75 ft / 60 ft
To solve for the width of the model, we can cross-multiply:
Width of the model = (0.75 ft * 35 ft) / 60 ft
Simplifying this:
Width of the model = 0.4375 ft
To convert this to inches, we multiply by 12:
Width of the model = 0.4375 ft * 12 in/ft
Width of the model = 5.25 inches
Therefore, the width of the model is 5.25 inches, which corresponds to option C.