Answer:
53 seats per row
Step-by-step explanation:
Given that:
Capacity = 1855
Let number of rows = x
Hence, Number of seats per row = x + 18
The Area of auditorium = capacity
Area of rectangle = Length * width
1855 = x * (x + 18)
1855 = x² + 18x
x² + 18x - 1855 = 0
x² + 53x - 35x - 1855 = 0
x(x + 53) - 35(x + 53) = 0
(x - 35) = 0 or (x +53) = 0
x = 35 or x = - 53
Hence x = 35 ; (x can't be negative)
Number of seats per row = 35 + 18 = 53
Using a quadratic equation cal
