Q. 3

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

Answer :

Let Breadth be x and length be 2x

Area = (Length × Breadth) = 800m^{2}

2x^{2} = 800

⇒ x^{2} = 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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