Suppose the height of the freight elevator in your building is half its width w

when the doors are all the way open.
a. What is an expression for the maximum side length of a sheet of metal that will fit through the elevator doors?
b. If the height of the elevator is 3 meters, what is the maximum length that
will fit through the doors?

1 answer

the doorway is h by w
a. a thin sheet of metal could be as long as the diagonal, √(h^2+w^2)
b. Now just plug in your numbers