Let the breadth of the rectangular hall be ‘x’ m.
So, length be (x + 3) m
According to question,
Area = 180
i.e., Length x breadth = 108
⇒ x(x + 3) = 108
⇒ x2 + 3x = 108
⇒ x2 + 3x – 108 = 0
Therefore, the required representation in the form of quadratic equation be x2 + 3x – 108 = 0.