Question

The area of a rectangular plot is $528m^2$. The length of the plot (in meters) is one more than twice its breadth. Formulate the quadratic equation to determine the length and breadth of the plot.

Answer 1

Let the breadth of the plot be $x$ metres

It is given that the length of the plot is one more than twice its breadth
Length$=(2x+1)$ metres

Now. Area of the plot $=528m^2$

Length$\times$ Breadth$=528m^2$

$\Rightarrow (2x+1)\times x=528$

$\Rightarrow 2x^2+x-528=0$

This is the required quadratic equation