8649 person were sitting in an auditorium in such a manner that there were as many person in the row as there were rows in the auditorium. How many peson were there in each row of the auditorium


Given: $8649$ person were sitting in an auditorium in such a manner that there were as many person in the row as there were rows in the auditorium.

To do: To find the number of persons in each row of the auditorium.

Solution:

Number of persons in one row$=x$

Therefore, number of rows in the auditorium$=x$

Total number of persons$=$Number of person in one row $\times$ number of rows

$=x\times x=x^2$

$\therefore 8649=x^2$

$\Rightarrow x=\sqrt{8649}=93$

Therefore, there are $93$ persons in each row of the auditorium.

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Updated on: 10-Oct-2022

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