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# Represent the following situations in the form of quadratic equations : (i) 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.

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

(i) The area of a rectangular plot is $528m^2$ . 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.

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Given the area of a rectangular plot is $528m^2$.

Let the breadth of the plot be $'b'$.

Then, the length of the plot will be: $= 2b +1$.

Therefore the area will be:

$=b(2b+1)\ m^2$ which is equal to the given plot area $528m^2$.

$\Rightarrow 2b^2+b = 528$

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

Hence, the length and breadth of the plot will satisfy the equation $2b^2+b - 528 = 0$

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