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Difference between revisions of "2015 AIME II Problems/Problem 4"

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Isosceles trapezoid has bases of length <math>\log 3</math> and <math>\log 192</math>. The altitude of the trapezoid is <math>\log 16</math>. The perimeter of the trapezoid may be expressed in the form <math>\log 2^m 3^n</math>, what is <math>m + n</math>?
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In an isosceles trapezoid, the parallel bases have lengths <math>\log 3</math> and <math>\log 192</math>, and the altitude to these bases has length <math>\log 16</math>. The perimeter of the trapezoid can be written in the form <math>\log 2^p 3^q</math>, where <math>p</math> and <math>q</math> are positive integers. Find <math>p + q</math>.

Revision as of 16:48, 26 March 2015

In an isosceles trapezoid, the parallel bases have lengths $\log 3$ and $\log 192$, and the altitude to these bases has length $\log 16$. The perimeter of the trapezoid can be written in the form $\log 2^p 3^q$, where $p$ and $q$ are positive integers. Find $p + q$.

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