In an assembly hall of a school the number of rows is equal to the number of chairs in each row. If the capacity of the hall is 1764, find the number of chairs in each room.
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Let the number of chairs in each row be x.
Then, the number of rows = x.
Total number of chairs in the auditorium = ( ) = .
But the number of chairs that the auditorium can accommodate = 1764 (given)
Hence, the number of chairs in each row is 42.
Then, the number of rows = x.
Total number of chairs in the auditorium = ( ) = .
But the number of chairs that the auditorium can accommodate = 1764 (given)
Hence, the number of chairs in each row is 42.
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Answer:
That means the number of chairs in each row, i.e., number of columns (which is equal to the number of rows) must be the square root of the number of total chairs. ∴ Number of chairs in each row = Number of rows = √1764 = 42.
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