Represent the following situation in the form of quadratic equations:

1.	Represent the following situation in the form of quadratic equations:The area of a rectangular plot is 528 m2. The length of the plot (in meters) is one more than twice its breadth. We need to find the length and breadth of the plot.
Answer» Let the breadth of the rectangular plot be x m. Then its length (by problem) = 2x + 1. Area = l . b = (2x + 1) . x = 2x² + x But area = 528 m² (∵ given) ∴ 2x² + x = 528 ⇒ 2x² + x – 528 = 0 where x is the breadth of the rectangle.

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

Answer»

Let the breadth of the rectangular plot be x m.

Then its length (by problem) = 2x + 1.

Area = l . b = (2x + 1) . x = 2x² + x

But area = 528 m² (∵ given)

∴ 2x² + x = 528

⇒ 2x² + x – 528 = 0 where x is the breadth of the rectangle.