Answer:
Step-by-step explanation:
Population density is expressed as the ratio of the total number of people, N living in or occupying an area or space to the total area or space. Therefore
Population density = number of people/area
A) The town of Manchester (population 50,000) has the shape of a rectangle that is 5 miles wide and 7 miles long. The area would be
5 × 7 = 35 square miles
Population density = 50000/35
= 1429 people/square mile
B) The business area has radius of 1 mile. Its area would be
πr² = 3.14 × 1² = 3.14 square miles.
The area where people reside outside the business area is
35 - 3.14 = 31.86 square miles
Population density = 50000/31.86
= 1569 people per square mile