SOLUTION: 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.

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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.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
seats = rows x columns
Let +n+ = number of seats in each row
given:
+n+ = number of rows - +12+
Number of rows = +n+%2B+12+
The number of columns is +n+
+n%2A%28+n+%2B+12+%29+=+2268+
+n%5E2+%2B+12n+=+2268+
Complete the square
+n%5E2+%2B+12n+%2B+%2812%2F2%29%5E2+=+2268+%2B+%2812%2F2%29%5E2+
+n%5E2+%2B+12n+%2B+36+=+2268+%2B+36+
+%28+n+%2B+6+%29%5E2+=+2304+
+%28+n+%2B+6+%29%5E2+=+48%5E2+
+n+%2B+6+=+48+
+n+=+42+
There are 42 seats in each row
check:
Number of rows = +n+%2B+12+
+n+%2B+12+=+54+
+42%2A54+=+2268+
+2268+=+2268+
OK