Question

On a map, the scale shown is 1 inch : 5 miles. If a park is 75 square miles, what is the area of the park on the map?

Answer 1

Given:

On a map, the scale shown is 1 inch : 5 miles.

Area of park = 75 square miles.

To find:

The area of the park on the map.

Solution:

Ratio of the areas of similar figures is equal to the ratio square of their corresponding sides.

`\frac{\text{Area of park on the map}}{\text{Actual area of the park}}=\frac{\text{Side of park in map}^2}{\text{Actual side of park}^2}`

Let A be the area of the park on the map.

`(A)/(75)=(1^2)/(5^2)`

`A=(1)/(25)* 75`

`A=3`

Therefore, the area of the park on the map is 3 square inches.