Question

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

Answer 1

Area of Rectangle plot $=528$$m^2$

$l.b=528\dots \dots \dots \dots \left(1\right)$

Now at Q

$l=1+2b\dots \dots \dots .\left(2\right)$

From (2) put ‘l’ in (1) we get

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

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

$\left(2b+33\right)\left(b-16\right)$

$b=-\frac{33}{2},b=16$

$Length=1+2\times 16$

$=33$