Represent the following situations in the form of quadratic equations

Q2: Represent the following situations in the form of quadratic equations:

 (i) 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.

Answer:

Let the breadth of the rectangular plot = x m

The length of the plot (in metres) is one more than twice its breadth

And the length of the plot = (2 × width  + 1)  = 2x + 1 m

Formula of area of rectangle = length *  breadth = 528 m²

Plug the value of length and width we get

 (2x+1) × x = 528

or, 2x² + x =528

or, 2x² + x  - 528 = 0

it is our required quadratic equation