Q. 3
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.
Answer :
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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