Represent the following problem situations in the form of quadratic equations:
The area of a rectangular plot is 528 m². The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.

Let breadth of the rectangle = x m Then, length of the rectangle = (2x + 1) m
∵   Area of the rectangle = (2x + 1) x m²
According to the given condition,
(2x + 1)x = 528 ⇒ 2x² + x – 528 = 0
which is a quadratic equation in x.
Solving this equation by factorisation method, we get
                   
   
                        
                
                 
But breadth cannot be -ve.
∴                                x = 16
Hence, breadth of the rectangle = 16 m and length of the rectangle = 2 x 16 + 1 = 33 m.