Question

Is it possible to design a rectangular mango grove whose length is twice its breadth,
and the area is 800 m²? If so, find its length and breadth
​

Answer 1

$\bf\huge\underline{Question}$⠀⠀⠀

Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m² ? If so, find its length and breadth.

$\bf\huge\underline{Solution}$

Let the breadth be x m.

∴ Length = 2x m

Now, Area = Length × Breadth

⠀⠀⠀⠀⠀⠀⠀= 2x × x m² = 2x²m²

According to the given condition,

2x² = 800

=> x² = $\dfrac{800}{2}$ = 400

=> x = ± $\sqrt{400}$ = ±20

Therefore, x = 20 or x = -20

But x = -20 is not possible

⠀⠀⠀⠀⠀⠀[∵ Breadth cannot be negetive]

∴ x = 20

=> 2x = 2 × 20 = 40

Thus, length = 40m and breadth = 20m