Question

A county has a population density of 257 people per square mile. The county population is 4288. What is the area of this county? Round to the nearest square mile if necessary.

Answer 1

We have been given that a country has a population density of 257 people per square mile. The county population is 4288. We are asked to find the area of the country.

We will use population density formula to solve our given problem.

`\text{Population density}=\frac{\text{Number of people}}{\text{Area}}`

Upon substituting our given values in above formula, we will get:

`257=\frac{4288}{\text{Area}}`

`\text{Area}=(4288)/(257)`

`\text{Area}=16.6848249`

Upon rounding to nearest square mile, we will get:

`\text{Area}\approx 17`

Therefore, the area of the country would be approximately 17 square mile.