Let's answer each part of the question one by one.
Chairs in a Party Palace
The chairs are arranged in 27 rows and 27 columns. To find the total number of chairs, we need to multiply the number of rows by the number of columns:
Total number of chairs = 27 × 27
Calculating this, we get:
27 × 27 = 729
Therefore, there are a total of 729 chairs in the party palace.
Number of Students Contributing Money
In the class, each student contributed as many rupees as there are students. If the total collection was Rs. 169, we need to find out how many students were there.
Let's assume the number of students is n . According to the problem, each student contributed n rupees, so the total contribution is:
n × n = n 2
We know that the total collection is Rs. 169, thus:
n 2 = 169
To find n , we need to take the square root of both sides:
n = 169
Calculating the square root, we find:
n = 13
Therefore, there are 13 students in the class.