The population density of a town made up of 50 square kilometer land area and 100 million people is________

Analyze the question: We need the population density of a town with a land area of 50 km² and a population of 100 million.

Concept: Population density is the number of people living per unit area of land.

Population density = Total population ÷ Land area

Solution:

• Population = 100 million = 100,000,000
• Area = 50 km²

Density = 100,000,000 ÷ 50 = 2,000,000 people per km²

That is 2 million people per square kilometer.

Checking the options:

• A. 50,000: wrong. It would need a population of only 2.5 million.
• B. 2 million: matches our calculation.
• C. 0.5 million: wrong. This comes from inverting the division (50 ÷ 100).
• D. 20 million: wrong. It would need a population of 1,000 million.

Exam tip: Remember "density = people ÷ area". Always put the population on top. A quick check is to multiply your answer by the area: 2 million × 50 = 100 million, which gives back the original population. Also keep an eye on units: "million" is easy to mishandle under time pressure, so write the zeros out if you need to.