Question:
A hall has a capacity of 2704 seats. If the number of rows is equal to the number of seats in each row, then find the number of seats in each row.
Solution:
Let the number of seats in each row be $x$.
Then, number of rows $=$ Number of seats in each row $=x$
$\therefore$ Total seats $=x \times x=x^{2}$
According to the question,
$x^{2}=2704$
$\Rightarrow \quad x=\sqrt{2704}=\sqrt{52 \times 52}$
$\Rightarrow \quad x=52$
Hence, there are 52 seats in each row.
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