document.write( "Question 846098: A rectangular auditorium seats 1092 people. The number of seats in each row exceeds the number of rows by 11 \n" ); document.write( "
Algebra.Com's Answer #509597 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A rectangular auditorium seats 1092 people. The number of seats in each row exceeds the number of rows by 11 \n" ); document.write( "------ \n" ); document.write( "Let # of rows be \"r\": \n" ); document.write( "Let # of seats in a row be \"s\". \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "s = r + 11 \n" ); document.write( "sr = 1092 \n" ); document.write( "----- \n" ); document.write( "Substitute for \"s\" and solve for \"r\":: \n" ); document.write( "r(r+11) = 1092 \n" ); document.write( "r^2 + 11r - 1092 = 0 \n" ); document.write( "---- \n" ); document.write( "Factor:: \n" ); document.write( "(r-28)(r+39) = 0 \n" ); document.write( "--- \n" ); document.write( "r = 28 (# of rows) \n" ); document.write( "s = r+11 = 39 (# of seats in each row) \n" ); document.write( "-------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================== \n" ); document.write( " |