A factory is to be built on a lot measuring 300 ft by 400 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory.

What must the width of the lawn be?  

If the dimensions of the factory are A\displaystyle {A} ft by B\displaystyle {B} ft with A<B\displaystyle {A}<{B}, then A=\displaystyle {A}=   and B=\displaystyle {B}=