An administrative state in West Africa covers a total area of 120,000\text{ km}^2. Environ… — JAMB UTME

An administrative state in West Africa covers a total area of $120,000\text{ km}^2$ . Environmental surveys indicate that $65\%$ of the terrain is non-arable (comprising rocky highlands, water bodies, and urban infrastructure), while the remainder is arable land suitable for farming. The state has a total population of $16,800,000$ inhabitants, of which $75\%$ are actively engaged in rural agricultural production. What is the agricultural population density of this state in persons per square kilometer of arable land?

Answer: 300 persons/km²

Answer

The agricultural population density of the state is

300\text{ persons/km}^2

Agricultural population density measures the ratio of the agricultural population to the area of arable land. First, determine the arable land area:

100\% - 65\% = 35\%

120,000\text{ km}^2

, which equals

42,000\text{ km}^2

. Next, determine the rural agricultural population:

75\%

16,800,000

, which gives

12,600,000

agricultural inhabitants. Finally, dividing the agricultural population by the arable land area (

12,600,000 / 42,000

) yields

300\text{ persons/km}^2

Step-by-Step Solution

Calculate Arable Land Area

Arable land area is

42,000\text{ km}^2

Agricultural density requires using arable land area rather than total surface area.

Calculate Agricultural Population

Agricultural population is

12,600,000

inhabitants.

Agricultural density considers only the segment of the population engaged in farming rather than the total population.

Calculate Agricultural Density

Agricultural population density is

300\text{ persons/km}^2

Dividing the agricultural population by the arable land area yields the density of farmers per unit of cultivated land.

Key Concept

Agricultural Population Density

Estimated Time:3m 0s

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