Question

Choose the correct answer. A city map has the scale 1 inch = 500 feet. If a map of the city limits is 36 inches (East to West) by 24 inches (North to South), how many miles long (5,280 feet = 1 mile) is a straight east - west road in this scale? miles

Answer 1

so 1 inch is 500 ft....
so 36 inch will be 500×36= 18000 ft

so in miles= 18000/5280
=3.4 miles
so the answer is 3.4 miles !!!

Answer 2

3.4 miles.

Explanation:

We have been given map of a city limits. We are asked to find length of the actual straight east-west road in miles.

On the map 1 inch equals 500 feet.

The East-west road is 36 inches on scale. So actual length of road would be:

`\text{Actual road length}=\text{36 inches}* \frac{\text{500 feet}}{\text{ 1 inch}}`

`\text{Actual road length}=\text{36}* \text{500 feet}`

`\text{Actual road length}=18000\text{ feet}`

Now, we will convert the actual road length into miles by dividing 18,000 feet by 5,280 feet as 1 mile equals 5,280 feet.

`\text{Actual road distance in miles}=(18,000)/(5,280)`

`\text{Actual road distance in miles}=3.409090\approx 3.4`

Therefore, the actual road length of straight east-west road is 3.4 miles.