Question

Alan is making a model building out of sticks. The scale of his building is 1 inch: 400 ft. If the actual length of the building is 1320 ft., what is the length of the model?

Answer 1

Answer:

3.3 inches.

Step-by-step explanation:

We know that the scale of his building is 1 inch for every 400 ft.

And we also know that the actual length of the building is 1320 feet.

So, we can write the following proportion, with x being our unknown model length:

$\frac{x}{1320}=\frac{1}{400}$

Note the the lengths line up horizontally. The numerator is all the model lengths, while the denominator is the actual lengths.

Solve for x. Cross multiply:

$1320=400x$

Divide both sides by 400:

$x=3.3$

Therefore, the length of the model is 3.3 inches.

And we're done!