A hall has a capacity of 2704 seats. If the number of rows is equal to

1.	A hall has a capacity of 2704 seats. If the number of rows is equal to the number of seats in each row, then find the number of seats in each row.
Answer» From the question it is given that total number of seats = 2704 Let us assume number of seats in each row be ‘a’ As per the condition given in the question, Number of rows is equal to the number of seats in each row i.e. ‘a’ Then, Total number of seats = a × a 2704 = a² By taking square root on both side, a = √(2704) a = √(52 × 52) a = √(52)² a = 52 ∴The number of seats in each row is 52.

A hall has a capacity of 2704 seats. If the number of rows is equal to the number of seats in each row, then find the number of seats in each row.

Answer»

From the question it is given that total number of seats = 2704

Let us assume number of seats in each row be ‘a’

As per the condition given in the question,

Number of rows is equal to the number of seats in each row i.e. ‘a’

Then,

Total number of seats = a × a

2704 = a²

By taking square root on both side,

a = √(2704)

a = √(52 × 52)

a = √(52)²

a = 52

∴The number of seats in each row is 52.