document.write( "Question 1156064: A rectangular auditorium seats 1728 people. The number of seats in each row exceeds the number of rows by 12. Find the number of seats in each row. \n" ); document.write( "

Algebra.Com's Answer #778756 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = the number of rows
\n" ); document.write( " $\"+%28+x+%2B+12+%29%2Ax+=+1728+\"$
\n" ); document.write( " $\"+x%5E2+%2B+12x+=+1728+\"$
\n" ); document.write( "I'll complete the square
\n" ); document.write( " $\"+x%5E2+%2B+12x+%2B+%28+12%2F2+%29%5E2+=+1728+%2B+%28+12%2F2+%29%5E2+\"$
\n" ); document.write( " $\"+x%5E2+%2B+12x+%2B+36+=+1764+\"$
\n" ); document.write( " $\"+%28+x+%2B+6+%29%5E2+=+42%5E2+\"$
\n" ); document.write( " $\"+x+%2B+6+=+42+\"$
\n" ); document.write( " $\"+x+=+36+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+x+%2B+12+=+48+\"$
\n" ); document.write( "there are 48 seats in each row
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+x+%2B+12+%29%2Ax+=+1728+\"$
\n" ); document.write( " $\"+%28+36+%2B+12+%29%2A36+=+1728+\"$
\n" ); document.write( " $\"+48%2A36+=+1728+\"$
\n" ); document.write( " $\"+1728+=+1728+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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