Question

The town of manchester (50,000) has the shape of a rectangle that is 5 miles wide and 7 miles long.

What is the population density, in people per square mile, in Manchester? Round your answer to the nearest whole number of people per sqaure mile.

Answer 1

First calculate the area of the rectangle in square miles:

A = L x w 5 x 7 = 35 square miles

Now divided the number of people into the area: 50,000 / 35 = 1,428.57143

Round to nearest whole number of people: 1,429 people per square mile.

To check: 1428.57143 * 35 = 50,000

Answer 2

1429 people per square mile.

Explanation:

We have been given that the town of Manchester (50,000) has the shape of a rectangle that is 5 miles wide and 7 miles long. We are asked to find the population density of Manchester.

`\text{Population density}=\frac{\text{Population}}{\text{Area}}`

Let us find area of Manchester by multiplying 5 and 7.

`\text{Area of Manchester}=5\text{ miles}* 7\text{ miles}`

`\text{Area of Manchester}=35\text{ miles}^2`

`\text{Population density of Manchester}=\frac{50,000\text{ people}}{35\text{ miles}^2}`

`\text{Population density of Manchester}=\frac{1428.57\text{ people}}{\text{ miles}^2}`

`\text{Population density of Manchester}\approx \frac{1429\text{ people}}{\text{ miles}^2}`

Therefore, the population density is approximately 1429 people per square mile.