Subjects algebra

Square Seating

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Square Seating


1. The problem states that 1681 students will attend the school function, and we need to arrange chairs such that the number of students in each row equals the number in each column. 2. This means the total number of students (1681) must be arranged in a square seating arrangement, where the number of rows and columns are equal. 3. To find the number of students per row (and per column), we need to find the square root of 1681 because if $n$ is the number of students per row and per column, then: $$n \times n = 1681$$ 4. Calculate the square root: $$n = \sqrt{1681}$$ 5. We know that: $$1681 = 41 \times 41$$ 6. Therefore: $$n = 41$$ 7. So, 41 students should sit in each row and 41 students should sit in each column. 8. The number of chairs required equals the total number of students, which is 1681. **Final answer:** - Number of chairs per row = 41 - Number of chairs per column = 41 - Total chairs required = 1681