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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. Q.3

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The best way for solving the ncert class 10th math of quadratic equation of exercise 4.4. The best way for solving this problem is 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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1. Let the breadth of mango grove beÂ l.

Length of mango grove will be 2l.

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

2l2Â = 800

l2Â = 800/2 = 400

l2Â â€“ 400 =0

Comparing the given equation withÂ ax2Â +Â bxÂ +Â cÂ = 0, we get

aÂ = 1,Â bÂ = 0,Â cÂ = 400

As we know, Discriminant =Â b2Â â€“ 4ac

=> (0)2Â â€“ 4 Ã— (1) Ã— ( â€“ 400) = 1600

Here,Â b2Â â€“ 4acÂ > 0

Thus, the equation will have real roots. And hence, the desired rectangular mango grove can be designed.

lÂ = Â±20

As we know, the value of length cannot be negative.

Therefore, breadth of mango grove = 20 m

Length of mango grove = 2 Ã— 20 = 40 m

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