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charle [14.2K]
2 years ago
13

10%

Mathematics
1 answer:
nignag [31]2 years ago
4 0

Answer:

The population density for the village and the estate together is 112.5 people per square kilometer.

Step-by-step explanation:

The statement is incorrectly written. Correct form is described below:

<em>A village has an area of 6 square kilometers and a population density of 600 people per square kilometer. An estate stituated next to the village has a population of 800 and a population density of 400 people per square kilometer. Work out the population density, in people per square kilometer, for the village and the state together. </em>

Dimensionally speaking, the population density of the village and the estate together (r), measured in people per square kilometer, is defined by this expression:

r = \frac{n_{V}+n_{E}}{A_{V}+A_{E}} (1)

Where:

n_{V}, n_{E} - Population of the village and the estate, measured in people.

A_{V}, A_{E} - Area of the village and the estate, measured in square kilometers.

First, we find the population of the village:

n_{V} = \frac{600\,\frac{p}{km^{2}} }{6\,km^{2}}

n_{V} = 100\,p

Then, we determine the area of the estate:

A_{E} = \frac{800\,p}{400\,\frac{p}{km^{2}} }

A_{E} = 2\,km^{2}

If we know that n_{V} = 100\,p, n_{E} = 800\,p, A_{V} = 6\,km^{2} and A_{E} = 2\,km^{2}, then the population density of the village and the estate together is:

r = \frac{100\,p+800\,p}{6\,km^{2}+2\,km^{2}}

r = 112.5\,\frac{p}{km^{2}}

The population density for the village and the estate together is 112.5 people per square kilometer.

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