Question

7921 soldiers sat in an auditorium in such a way that there were as many soldiers in a row as there are rows in the auditorium. Find how many rows are there in the auditorium?

Answer 1

Pls mark as brainliest answer

Answer 2

Answer:

The Number of rows in the auditorium is 89.

Step-by-step explanation:

Gívєn -

Total soldiers = 7921

Number soldiers in one row = Numbers of total rows

Tσ fínd -

The Number of rows

Sσlutíσn -

Let the -

• Number of rows be as x
• So, Number of people in a row will also be x

$\sf{\implies} \: x \times x = Total \: Soldiers \: \\ \sf{\implies} \:x \times x = 7921 \\ \sf{\implies} \: {x}^{2} = 7921 \\ \sf{\implies} \:x = \sqrt{7921}$

$\begin{array}{r|l} 89 & 7921 \\\cline{1-2} 89 & 89 \\\cline{1-2} & 1 \end{array}$

==> 7921 = 89 × 89

==> $\sqrt{7921}$ = 89

$\sf{\implies} \: x = 89$

Number of rows = 89

Number of people in the row = 89

$\therefore$ The Number of rows in the auditorium is 89.