Question

A map of a park has a scale factor of 0.4 inch : 100 feet. On the map, the distance between the playground and

the pavilion is 5 inches. What is the actual distance between the playground and the pavilion?

Answer 1

Answer:
`1,250\ ft`

Explanation:

You need to analize the information provided in the exercise.

You know that the scale factor of the map is:

`0.4\ in:100\ ft`

Let be "x" the actual distance (in feet) between the playground and the pavilion .

Knowing that, in the map, these distance is 5 inches, you can write the following proportion in order to find the actual distance "x" between the playground and the pavilion:

`(100\ ft)/(0.4\ in)=(x)/(5\ in)`

Therefore, solving for "x", you get that this is:

`(5\ in)((100\ ft)/(0.4\ in))=x\\\\x=1,250\ ft`

The actual distance between the playground and the pavilion is
`1,250\ ft`