The distance from A to B is $50$ units, B to C is $50$ units, and C to D is $50$ units. For $($b$),$ the distances from A to C and B to D $($and the reverse directions$)$ are given by the hypotenuse of a triangle formed by the departments $($e$.$g$.,$ ABC$).$ Which layout would you prefer, $($a$)$ or $($b$)?$ Why?