Question

in an auditorium (1482+x) chairs are placed such that the number of rows is equal to the number of columns. find the least value of x​

Answer 1

Answer:

39.....

number of rows = columns = 39.

Step-by-step explanation:

let the number of rows = n.

As the number of rows and columns are equal, the total number of chairs placed in the auditorium = n * n = n²

  Given  n² = 1482 + x

   here x = a non negative integer. we have to find the minimum value of x so that the above equation is valid.

    Perfect squares above 1482 are 1521, 1600.

    So    let  n² = 1482 + x = 1521

                  x = 39

                  n = 39.

Answer 2

:-

To arrange the chairs in equal number of rows and columns, the total number of chairs should be a square number.

The square number next to 1482 is 1521=39²

1521=1482+39 ⇒ x=39