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 the auditorium?
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Answer 1

Answer:

Total rows are 89.

Step-by-step explanation:

∵ we know that,

Total soldiers in the auditorium = 7921.

∵ Number of rows= Number of columns = x

∴ Total soldiers according to the rows and columns are x * x = $x^{2}$

$x^{2}$ = 7921

x = $\sqrt{7921}$

x = +89, -89

We are reducing the term x= - 89 because soldiers can't be in minus ( - ).

∴ Total Rows are 89.

Answer 2

Answer :

›»› The number of rows in the auditorium is 89.

Given :

• 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.

To Find :

• How many rows are there in the auditorium?

Solution :

Let us assume that the, number of soldiers sat in a rows is x, and number of rows in an auditorium is also x.

As it is given that the total soldiers in an auditorium is 7921 soilders.

→ x * x = 7921

→ x² = 7921

→ x = √7921

→ x = √89 * 89

→ x = 89

Hence, the number of rows in the auditorium is 89.

Verification :

The total soldiers in an auditorium = 7921.

→ x * x = 7921

→ 89 * 89 = 7921

→ 7921 = 7921

Here, LHS = RHS

Hence Verified !