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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.

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Let Breadth = b.

Given that length is twice its breath.

Length of the rectangle = 2b.

And given that area of rectangle = 800 m2

But area of rectangle = l x b = b x 2b

⇒ 2b2 = 800m2

⇒ b2 = 400m2

⇒ b = 20 m

∴ length of the rectangle = 40 m.

Breadth of the rectangle = 20 m.

∴ It is possible to design a rectangular mango grove.

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