Suppose a charity trust decides to build a prayer hall having a carpet area of 300 square metres with its length one metre more than twice its breadth. What should be the length and breadth of the hall? Suppose the breadth of the hall is x metres. Then, its length should be (2x + 1) metres. We can depict this information pictorially as shown in Fig. 4.1. Now, area of the hall = (2x + 1). x m² = (2x² + x) m² So, 2x² + x = 300 (Given) Therefore, 2x² + x - 300 = 0