So far none of my students have been able to answer this problem (at least not without a little nudging on my part.) Let’s see if anybody can prove the correct answer and explanation.

You have 48 hours!

The sides of a rectangular box when added together equal 36.

Column A | Column B |
---|---|

The length of the longest possible line that can be drawn to connect two of the vertices of rectangular box. |

A. The quantity in Column A is greater

B. The quantity in Column B is greater

C. The two quantities are equal

D. The relationship cannot be determined from the information given

I posted the answer and an explanation in the comments, good luck!