Is it possible to design a rectangular mango grove whose length
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