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

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Solution

## Step 1: Given InformationLet 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×Numberofsoldierseatedineachrow=Totalnumberofsoldiers$$n×n=7921$${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 $89$.

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