Answer: [tex]1,250\ ft[/tex]
Step-by-step explanation:
You need to analize the information provided in the exercise.
You know that the scale factor of the map is:
[tex]0.4\ in:100\ ft[/tex]
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:
[tex]\frac{100\ ft}{0.4\ in}=\frac{x}{5\ in}[/tex]
Therefore, solving for "x", you get that this is:
[tex](5\ in)(\frac{100\ ft}{0.4\ in})=x\\\\x=1,250\ ft[/tex]
The actual distance between the playground and the pavilion is [tex]1,250\ ft[/tex]
