Question 124

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.

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Solution

Let the number of seats in each row be x.
Then, number of rows = Number of seats in each row = x
$∴$ Total seats $= x \times x = x^{2}$
According to the question,
$x^{2} = 2704$

$\begin{matrix} 52 5 & ¯ 27 ¯ 04 25 102 & 204 2040 \end{matrix}$

$\Rightarrow x = \sqrt{2704} = \sqrt{52 \times 52} ∴ x = 52$
Hence, there are 52 seats in each row.

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Question 124

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