Difference between revisions of "2015 AIME II Problems/Problem 4"
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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>. | 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>. | ||
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Revision as of 16:49, 26 March 2015
Problem
In an isosceles trapezoid, the parallel bases have lengths 
and 
, and the altitude to these bases has length 
. The perimeter of the trapezoid can be written in the form 
, where 
and 
are positive integers. Find 
.
