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

Answer:

2.25 square inches

Step-by-step 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

$\frac{1}{400}\ \frac{in^2}{mi^2}=\frac{x}{900}\ \frac{in^2}{mi^2}\\\\x=900/400\\\\x=2.25\ in^2$