Question:
Is it possible to design a rectangular mango grove whose length is twice its breadth and the area is $800 \mathrm{~m}^{2} ?$ If so, find its length and breadth.
Solution:
Let the breadth of the rectangular mango grove be $x$ meter and the length $=2 x$ metres. Then
Area of the rectangle
length $\times$ breadth $=800$
$x \times 2 x=800$
$2 x^{2}=800$
$x^{2}=400$
$x=\sqrt{400}$
$=\pm 20$
Sides of the rectangular hall never be negative
Therefore, length
$=2 x$
$=2 \times 20$
$=40$
Yes, it is possible.
Hence, breadth of the hall be 20 metres and length be 40 metre