Question

The area of a rectangular plot is 528$m^2.$ The length of the plot (in metres) is one than twice its breadth. We need to find the length and breadth of the plot.

Answer 1

Area $=528m^2$

Let Breadth be b

Then length $l=2b+1$

So $\left(b\right)(2b+1)=528$

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

$\Rightarrow 2b^2-32b+33b-528=0$

$\Rightarrow 2b(b-16)+33(b-16)=0$

$\Rightarrow (2b+33)(b-16)=0$

So $b=16$

$l=33$.