The length of the model is 3.3 inches.
What is the unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Sammy is constructing a model bridge out of sticks. The actual bridge is 1320 ft long. Sammy wants the scale of his bridge to be 1 : 400.
So, We know that the scale of his building is 1 inch for every 400 ft.
We also know that the actual length of the building is 1320 feet.
Thus, we can write the following proportion, with x being our unknown model length:
x/1320 = 1/ 400
Note the the lengths line up horizontally.
Solve for x. Cross multiply:
x = 1320 / 400
x = 3.3
Hence, the length of the model is 3.3 inches.
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