Question

PE teacher wants to arrange maximum possible number of 6000 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 71 were left out after arrangement

Hint: Use the area of a square and your knowledge of square roots also working steps to complete the following
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Answer 1

77 rows.

Explanation:

6000 - 71 = 5929

So this number of students form a square.

As it is a square number of rows = number of columns, so:

Number of rows = √5929 = 77.

Answer 2

77 rows and 77 columns

Explanation:

First subtract 71 from the 6000

6000 - 71 = 5929

`\text{Number of rows or columns = $√(5929)$}`

= 77