Question

On a map, the scale shown is 1 inch: 20 miles. If a city is 900 square miles, what is the area of the city on the map?

Answer 1

2.25 square inches

Explanation:

we know that

The scale is
`1\ inch: 20\ miles`

That means

1 inch on a map represent 20 miles in the city

so

An area of
`(1)(1)=1\ in^2` on a map represent an area of
`(20)(20)=400\ mi^2` in the city

Applying proportion

`(1)/(400)\ (in^2)/(mi^2)=(x)/(900)\ (in^2)/(mi^2)\\\\x=900/400\\\\x=2.25\ in^2`