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 of mango grove be l.

Length of mango grove will be 2l.


Area of mango grove = (2l) (l) = 2l2


2l2 = 800


= 0


=


Comparing this equation with al2 + bl + c = 0,


we obtain,


a = 1 b = 0, c = 400


Discriminant = b2 − 4ac = (0)2 − 4 × (1) × (− 400) = 1600


Here, b2 − 4ac > 0


Therefore, the equation will have real roots.


And hence, the desired rectangular mango grove can be designed.



However, length cannot be negative.


Therefore, breadth of mango grove = 20 m


Length of mango grove = 2 × 20 = 40 m


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