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Math 800 Challenge– Can you crack it?

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 AColumn 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!

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