# A PT teacher wants to arrange maximum possible number of 6000 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 71 were left out after arrangement.

Let a be number of rows

Therefore,

No. of columns = a

Total number of students who sat in field = a2

Total students = a2 + 71

= 6000

a2 = 5929

a = a = 11 × 7

= 77

Therefore, total number of rows = 77

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