physics problem

Question

One of the smallest nations in the world is Liechtenstein, a tiny country between Switzerland and Austria in Europe. If its area is 200 km², how many square meters is this area?

Answer 1

Hi Gin!

If the area of Lichtenstein in km is 200 km^2, then the area in meters would be 1,000,000x greater. This is because 1 linear km is 1,000x greater than 1 linear meter, and thus the sectional area of 1 km^2 would be 1,000,000x greater than the sectional area of 1m^2. From this, the answer becomes clear: the area of Lichtenstein in m^2 would be 200,000,000 m^2.