Question

The scale of a certain map is 4/5 inch = 16 miles. A square park is represneted on the map by a square with side length 5/8 inch. What is the actual area of this park? Express your area as a decimal to the nearest hundredth.

Answer 1

The area of this park is 130.60 square miles.

Explanation:

Given : The scale of a certain map is
`(4)/(5)` inch = 16 miles. A square park is represented on the map by a square with side length
`(5)/(8)` inch.

To find : What is the actual area of this park?

Solution :

The scale of a certain map is
`(4)/(5)` inch = 16 miles.

Let the side length of
`(5)/(8)` inch = x miles.

So,
`((4)/(5))/((5)/(8))=(16)/(x)`

`(4* 8)/(5*5)=(16)/(x)`

`(32)/(25)=(16)/(x)`

`x=(16* 25)/(35)`

`x=11.428`

The side length of a square is 11.428 miles.

The area of the square is
`A=s^2`.

`A=(11.42)^2`

`A=130.599\ miles^2`

To nearest hundredth,

The area of this park is 130.60 square miles.