A cash register in a certain clothing store is at the same distance from two dressing rooms in the store. The distance between the two dressing rooms is \(16\) feet, which of the following could be the distance between the cash register and either dressing room?

I. \(6\) feet
II. \(12\) feet
III. \(24\) feet

(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III

Answer: E

Source: GMAT Prep