Question

$7921$ soldiers sat in an auditorium in such a way that there are as many soldiers in a row as there are rows in the auditorium. How many rows are there in an auditorium

Answer 1

Step 1: Given Information

Let the number of rows in the auditorium = $n$

Number of soldiers seated in each row = $n$ (As there are as many soldiers in a row as there are rows in the auditorium )

Step 2: Find the number of rows in the auditorium

$Numberofrowsintheauditorium\times Numberofsoldierseatedineachrow=Totalnumberofsoldiers$

$n\times n=7921$

$n^2=7921$

$n=\sqrt{7921}$ (applying square root on both sides )

$n=89$ ( On solving $\sqrt{7921}$we get $89$)

Hence, the number of rows in the auditorium is $n=89$

So, the number of soldiers seated in each row is also $89$and the number of rows is also $89$.