Question

On a map, the scale shown is1 inch : 5 miles. If a park is75 square miles, what is thearea of the park on the map?The park's area issquarelinches on the map.

Answer 1

We have the relationship between inches and miles is:

1 inch to 5 miles.

The park has an actual area of:

`75mi^2`

Now, to make the conversion to inches, we need to consider that 1 inch represent 5 miles. Thus:

`\begin{gathered} 1in=5mi \\ 1in^2=25mi^2 \end{gathered}`

We squared this amounts, if 1 inch is 5 miles, 1 inch squared will be equal to 5 squared which is 25.

Now we divide 75 miles squared by 25, to know how many inches squared will the park represent on the map:

`(75)/(25)=3in^2`

Answer: the area of the park on the map will be 3 inches squared.