High School

A group of 169 students needs to be seated in a square formation for a yearbook photo.

Solve the equation [tex]$169 = s^2$[/tex] to find how many students should be in each row.

Answer :

To solve the equation [tex]\(169 = s^2\)[/tex] and determine how many students should be in each row, follow these steps:

1. Understand the Equation: The equation [tex]\(169 = s^2\)[/tex] means you are looking for a number [tex]\(s\)[/tex] such that when it is squared, it equals 169. This number [tex]\(s\)[/tex] represents the number of students in each row, as well as in each column, since the photo is in a square formation.

2. Find the Square Root: To find the value of [tex]\(s\)[/tex], you need to calculate the square root of 169. This is because the square root of a number gives the length of one side of a square when the area is known.

3. Calculate the Square Root: The square root of 169 is 13. This means that if you multiply 13 by itself (13 x 13), you get 169. Thus, [tex]\(s = 13\)[/tex].

4. Conclusion: Therefore, there should be 13 students in each row and each column to form a square arrangement of 169 students.

So, the answer is that there should be 13 students in each row.