Question

In an auditorium, seats are arranged in rows and columns. The number of rows were equal to the number of seats in each row. When the number of rows were doubled and the number of seats in each row was reduced by 10, the total number of seats increased by 300. i) If x is taken an number of row in original arrangement, then write a quadratic equation which describe the situation? ii) How many number of rows are there in the original arrangement? iii) How many number of seats are there in the auditorium in original arrangement? iv) How many number of seats are there in the auditorium after re - arrangement?​

Answer 1

i)   2x(x-10)=x^2+300

ii)  Answer ii in the picture

iii) The number of seats after re-arrangement=x^2+300=900+300=1200

Answer 2

Step-by-step explanation:

In an auditorium, seats are arranged in rows and columns. The number of rows were equal to the number of seats in each row. When the number of rows were doubled and the number of seats in each row was reduced by 10, the total number of seats increased by 300. i) If x is taken an number of row in original arrangement, then write a quadratic equation which describe the situation? ii) How many number of rows are there in the original arrangement? iii) How many number of seats are there in the auditorium in original arrangement? iv) How many number of seats are there in the auditorium after re - arrangement?

The solution is kind of messy but may still help!! :>