3249 persons are sitting in a cinema hall in such a manner that there are as many persons in a row as there are rows in the hall.find the number of rows

number of rows ---- x

numbr of people in a row --- x

so x^2 = 3249
x = √3249 = 57

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Let's assume that the number of rows in the cinema hall is 'x'.

Since there are as many persons in a row as there are rows in the hall, each row will have 'x' persons.

Therefore, the total number of persons in the hall would be the product of the number of rows and persons in each row, which is equal to x * x = x^2.

According to the given information, there are 3249 persons in total, so we need to find the value of 'x' that satisfies the equation x^2 = 3249.

Taking the square root of both sides, we get:

√(x^2) = √3249

x = 57

Thus, there are 57 rows in the cinema hall.

To find the number of rows in the cinema hall, we need to find a perfect square less than or equal to 3249.

We can start by checking the largest perfect square less than 3249. The square root of 3249 is approximately 57. This means that if there were 57 rows in the cinema hall, there would be 57 people in each row. However, this would result in a total of 57 x 57 = 3,249 people sitting in the hall.

Hence, the number of rows in the cinema hall is 57.