# This is math in geography!

**Algebra**Level 3

A group of geographers analysing the 2013 data of two cities found that the city **A** had a population of 250,000 habitants, and it have an area of \(1250 \text{ km}^{2}\).

The data of city **B** was incomplete and the only informations are that the ratio between city **A** population and city **B** population was 2:3 and the **population density** of city **B** was 100 habitants per kilometre square less than city **A**.

Then, the area of city B is:

**Definitions:** The **Population Density** of a city is the average number of habitants living in each kilometer square of this city.