Craig is making a model version of his neighborhood that uses model trains. The ratio of the model train to the actual train is 1:64. His neighborhood covers an area o 200,704 squared feet. What will the area of the model neighborhood be?

would it be 200704/64^2 which = 49?

correct.

ok thank you!

To find the area of the model neighborhood, we need to first determine the scale factor between the model train and the actual train. In this case, the ratio is given as 1:64.

The scale factor represents how many times smaller the model train is compared to the actual train. In this case, it is 1/64, since the model train is smaller.

To find the area of the model neighborhood, we need to square the scale factor, as area is a 2-dimensional measurement. So, (1/64)^2 = 1/4096.

Next, we need to find the area of the actual neighborhood, which is given as 200,704 square feet.

To find the area of the model neighborhood, we multiply the area of the actual neighborhood by the scale factor squared:

Model Neighborhood Area = Actual Neighborhood Area * (Scale Factor)^2
= 200,704 * (1/4096)
= 200,704 / 4096
≈ 49.02 square feet

Therefore, the area of the model neighborhood will be approximately 49.02 square feet.