Question

The seats in a theater are arranged in parallel rows that form a rectangular region. The number of seats in each row of the theater is 16 fewer than the number of rows. How many seats are in each row of a theater that has 1,161 seats

Answer 1

s - number of seats in a row
r - number of rows


`s+16=r \\sr=1,161 \\ \\s(s+16)=1,161`

Since s must be a positive integer, find factors of 1,161.


`1,161:3=387:3=129:3=43`


`1,161=3^3* 43=27* 43`

`43-27=16`

Therefore, s = 27.