document.write( "Question 632802: A rectangualr auditorium seats 2268 people. The number of seats in each row exceads the number of rows by 12. Find the number of seats in each row. \n" ); document.write( "

Algebra.Com's Answer #398497 by josmiceli(19441) $\"\"$ $\"About$

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seats = rows x columns
\n" ); document.write( "Let $\"+n+\"$ = number of seats in each row
\n" ); document.write( "given:
\n" ); document.write( " $\"+n+\"$ = number of rows - $\"+12+\"$
\n" ); document.write( "Number of rows = $\"+n+%2B+12+\"$
\n" ); document.write( "The number of columns is $\"+n+\"$
\n" ); document.write( " $\"+n%2A%28+n+%2B+12+%29+=+2268+\"$
\n" ); document.write( " $\"+n%5E2+%2B+12n+=+2268+\"$
\n" ); document.write( "Complete the square
\n" ); document.write( " $\"+n%5E2+%2B+12n+%2B+%2812%2F2%29%5E2+=+2268+%2B+%2812%2F2%29%5E2+\"$
\n" ); document.write( " $\"+n%5E2+%2B+12n+%2B+36+=+2268+%2B+36+\"$
\n" ); document.write( " $\"+%28+n+%2B+6+%29%5E2+=+2304+\"$
\n" ); document.write( " $\"+%28+n+%2B+6+%29%5E2+=+48%5E2+\"$
\n" ); document.write( " $\"+n+%2B+6+=+48+\"$
\n" ); document.write( " $\"+n+=+42+\"$
\n" ); document.write( "There are 42 seats in each row
\n" ); document.write( "check:
\n" ); document.write( "Number of rows = $\"+n+%2B+12+\"$
\n" ); document.write( " $\"+n+%2B+12+=+54+\"$
\n" ); document.write( " $\"+42%2A54+=+2268+\"$
\n" ); document.write( " $\"+2268+=+2268+\"$
\n" ); document.write( "OK \n" ); document.write( "

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