Hi ...A scale model of a building has a roof area of 32cm^2. The scale factor is 1:250. Whats the actual roof area in square metres?
The important thing to remember is that a model length L represents real length 250L, but a model area A represents real area (250^2)A. This is apparent if we write
and square both sides. (For some reason, during my studies this was emphasized most in chemistry, not so much math or other sciences.)