Question

A PT teacher wants to arrange a maximum possible number of 5948 students in a playground such that the number of rows is equal to the number of columns. Find the number of rows if 19 students were left out after the arrangement.

Answer 1

Let the no. of rows =x=no. of columns
Then total no. of students adjusted in x rows and x columns are=x².
19 students are left out then,
x²+19=5948
or, x²=5948-19
or, x²=5929
or, x= 77

Answer 2

x = Number Of Columns.
x² = 5948 - 19
x² = 5929
x = √5929
x = 77..............