A PT teacher wants to arrange maximum possible number of 6000 students

1.	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.
Answer» 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 = \(\sqrt{5929}\) a = 11 × 7 = 77 Therefore, total number of rows = 77

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.

Answer»

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 = \(\sqrt{5929}\)

a = 11 × 7

= 77

Therefore, total number of rows = 77