2013 AIME I Problems/Problem 7

Revision as of 15:08, 16 March 2013 by Silentazn (talk | contribs) (Problem 7)

Problem 7

A rectangular box has width $12$ inches, length $16$ inches, and height $\frac{m}{n}$ inches, where $m$ and $n$ are relatively prime positive integers. Three faces of the box meet at a corner of the box. The center points of those three faces are the vertices of a triangle with an area of $30$ square inches. Find $m+n$.



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