You are arranging chairs in an auditorium for the talent show. the number of rows is to be the same as the number of chairs per row. you will need a total of 225 chairs. how many chairs will be in each row?

The total number of chairs is the product of the number of rows with the number of chairs per row. You can determine this using the dimensional analysis approach. The solution is as follows:

Number of chairs = Number of rows * Number of chairs/row

Since the the unit 'row' appears on both the numerator and denominator side, they will cancel out, leaving us with the number of chairs.

225 chairs = x*x = x², where x is the number of rows which is also equal to the number of chairs per row

x = √225 = 15

Thus, there are 15 rows with 15 chairs each row.