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?

Answer 1

The quadratic equation that describes the situation is x * x = (2x) * (x - 10) + 300.

Step-by-step explanation:

Let x be the number of rows and also the number of seats in each row in the original arrangement.

When the number of rows is doubled, the new number of rows becomes 2x.

And when the number of seats in each row is reduced by 10, the new number of seats in each row becomes x - 10.

The total number of seats in the new arrangement is increased by 300. So, the equation representing the situation is:

x * x = (2x) * (x - 10) + 300

Simplifying this equation will give you the quadratic equation that describes the situation.