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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.

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Solution

Suppose, The number of seats in each row =z

Then, Number of rows = number of seats in each row =z

So, the total seats = Number of rows × Number of seats in each row =z×z=z2

It is given that the total capacity of the hall is 2704.

As per question, we have
z2=2704

z=2704

z=52×52=52

Hence, number of seats in each row is 52.


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