#### Question

Represent the following 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

#### Solution

Let the breadth of the rectangular plot = x m

Hence, the length of the plot is (2x + 1) m.

Formula of area of rectangle = length × breadth = 528 m^{2}

Putting the value of length and width, we get

(2x + 1) × x = 528

⇒ 2x^{2} + x =528

⇒ 2x^{2} + x - 528 = 0

Is there an error in this question or solution?

Solution Represent the following situations in the form of quadratic equations The area of a rectangular plot is 528 m^2. 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 Concept: Quadratic Equations.