SOLUTION: in high school auditorium the number of rows of seats is double the number of seats in each row. if there are the same number of seats in each row and 1352 seats in total, how many

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Question 330094: in high school auditorium the number of rows of seats is double the number of seats in each row. if there are the same number of seats in each row and 1352 seats in total, how many rows are there?
Found 4 solutions by vleith, mananth, aseem, Alan3354:
Answer by vleith(2983) About Me  (Show Source):
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Let s be the number of seats in a row
You are told the number of rows is 2s
The total number of seats in the room is the SeatsPerRow * NumberOfRows
s+%2A+2s+=+1352
2s%5E2+=+1352
s%5E2+=+676
s+=+sqrt%28676%29
s+=+26
If s = 26, then rows=2s = 2%2A26+=+52

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let there be x seats in each row.
total seats = 1352
number of rows = 1352/x
number of rows = 2times the number of seats in each row
1352/x = 2x
1352/2=x^2
676=x^2
x= 26 seats in each row.
number of rows = 2*26=52
..
CHECK
52*26=1352

Answer by aseem(9) About Me  (Show Source):
You can put this solution on YOUR website!
Take square rooot of 1352

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
r = rows, s = seats
r*s = 1352
r = 2s
2s*s = 1352
s^2 = 676
s = 26
r = 52