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"built-up area" is a correct and usable term in written English.
It refers to an urbanized, developed area that is densely populated with buildings and infrastructure. Examples: 1. The city's population had grown rapidly over the years, resulting in an increase in its built-up area. 2. The environmental impact of expanding built-up areas has been a major concern for city planners. 3. The campsite was located in a quiet area, away from the hustle and bustle of the built-up city. 4. The government's focus is on developing the rural areas and limiting the growth of built-up areas. 5. The built-up area of the city has expanded so much that it now merges with neighboring towns.
Exact(59)
All were built outside the built-up area of the city, making them inconvenient to reach.
All were built outside the built-up area, making them inconvenient to reach.
(2011) Newburn built-up area subdivision, 2,537.
The intervention effect 60% ratio land restriction of built-up area will delay the development of built-up area, and after those delays it will remain constant.
The two LUC maps were re-classed into two categories (i.e. built-up area and non built-up area) to facilitate logistic regression analysis.
Both instruments are located in central London, UK; a highly built-up area.
The man drove to a less built-up area before running from the vehicle.
The built-up area of Kinshasa is divided into industrial, residential, and commercial zones.
With Biarritz, the noted Atlantic resort, it forms an extended built-up area.
In the past six years its built-up area has expanded by more than 60%.
Similar(1)
Built up area has shown low persistence and losses but higher gain.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com