Q3 of 58 Page 123

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

Let Breadth be x and length be 2x

Area = (Length × Breadth) = 800m2


2x2 = 800


⇒ x2 = 400


Discriminant = 4 × 1 × 400 = 1600


Hence it is possible


⇒ x = ±20


Neglecting the negative term we have,


Breadth = 20m


Length = 40m


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