Is it possible to design a rectangular mango grove whose length is twice its breadth,

Solution:

Let x be the breadth and 2x be the length of the rectangle.

$x \times 2 x=800$

$\Rightarrow 2 x^{2}=800$

$\Rightarrow x^{2}=400=(20)^{2}$

$\Rightarrow x=20$

Hence, the rectangle is possible and it has breadth $=20 \mathrm{~m}$ and length $=40 \mathrm{~m}$.