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8. Population density measures how many people on average live in each square killometre ia sauare ares of length 1 km ). In Gauteng, there are on average 576 people in each square kilometre, and in the Western Cape there are on average 37 people in each square kilometre. a) If Gauten 3 covers an area of 17027 square kllometres, find the population of this province. b) If the Western Cape covers an area of 129462 square kilometres, find the population of this province. c) Find the difference in population of these two provinces.

Ask by Clarke Harrington. in South Africa
Mar 02,2025

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a) Gauteng has 9,807,552 people. b) The Western Cape has 4,790,094 people. c) The difference in population is 5,017,458 people.

Solución

a) Gauteng’s population is calculated by multiplying its area by its population density. With an area of 17,027 km² and a density of 576 people per km²:   Population = 17,027 × 576 = 9,807,552 people b) The Western Cape’s population is found similarly. With an area of 129,462 km² and a density of 37 people per km²:   Population = 129,462 × 37 = 4,790,094 people c) The difference in population between Gauteng and the Western Cape is:   Difference = 9,807,552 − 4,790,094 = 5,017,458 people

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To find the population of Gauteng, we multiply the area by the population density: 17027 km² * 576 people/km² = 9,803,472 people. For the Western Cape, the calculation is 129462 km² * 37 people/km² = 4,787,094 people. Lastly, the difference in population between Gauteng and the Western Cape is 9,803,472 - 4,787,094 = 5,016,378 people. Now you know! Gauteng is bustling with life, while the Western Cape offers a more spacious vibe. Did you know? This stark contrast in population density can affect everything from urban planning to the delivery of services and infrastructure. Understanding these dynamics is essential for effective governance and community engagements. On a lighter note, if you ever get lost in Gauteng's busy streets, just remember: you're surrounded by over 9 million neighbors! Meanwhile, in the Western Cape, you might be able to hit the beach with a lot of space—something to relish on a hot summer day!

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