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
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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.
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 = = 400
=> x = ± = ±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
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