document.write( "Question 1117434: If each person occupies a 2ft x 2 ft area, how many people could you fit inside a triangular (equilateral)
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document.write( "concert area with a perimeter of 900 feet, and with t
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document.write( "he triangular height equal to 260 ft? \n" );
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Algebra.Com's Answer #732520 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! If each person occupies a 2ft x 2 ft area, how many people could you fit inside a triangular (equilateral) \n" ); document.write( "concert area with a perimeter of 900 feet, and with the triangular height equal to 260 ft? \n" ); document.write( "----------- \n" ); document.write( "300 ft sides --> height =~ 259.8 ft, less than 260 \n" ); document.write( "---- \n" ); document.write( "The number of 2 by 2 squares along an edge is limited to the distance parallel to the edge and 2 ft from it. \n" ); document.write( "d = 300 - 2*2*tan(30) =~ 297.7 feet \n" ); document.write( "--> 148 squares along an edge. \n" ); document.write( "Each row above that is 4*tan(30) shorter. \n" ); document.write( "The 2nd row is ~295.4 feet --> 147 squares, etc. \n" ); document.write( "Using Excel --> 9603 people. \n" ); document.write( "---------------------------- \n" ); document.write( "9603 times 4 = 38412 sq ft occupied of the total area of 38971 sq ft. \n" ); document.write( "I don't think another arrangement would increase the number, but that would be difficult to prove.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |