Question

Is it possible to design a rectangular mango grove whose length is twice its breadth and the area is 800 $m^2$? If so, find its length and breadth.

• A. Yes. $30m,60m.$
• B. Yes. $40m,20m.$
• C. Yes. $80m,40m.$
• D. no its is not possible

Answer 1

The correct option is B Yes. $40m,20m.$

$\Rightarrow$ Let breadth be $x$. Then, length will be $2x$

$\Rightarrow$ Area of rectangular mango grove $=800m^2$

$\Rightarrow$ $x\times 2x=800$

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

$\Rightarrow$ $x^2=400$

$\therefore$ $x=\pm 20$

$\Rightarrow$ $x$ can not be negative

$\therefore$ $x=20$

$\Rightarrow$ Breadth of the rectangular mango grove $=x=20m$

$\Rightarrow$ Length of the rectangular mango grove $=2x=20\times 2=40m$