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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# 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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Let the breadth of mango grove beÂ

l.Length of mango grove will be 2

l.Area of mango grove = (2

l) (l)= 2l^{2}2

l^{2Â }= 800l^{2Â }= 800/2 = 400l^{2Â }â€“ 400 =0Comparing the given equation withÂ

ax^{2}Â +ÂbxÂ+ÂcÂ = 0, we getaÂ = 1,ÂbÂ = 0,ÂcÂ = 400As we know, Discriminant =Â

b^{2}Â â€“ 4ac=> (0)

^{2}Â â€“ 4 Ã— (1) Ã— ( â€“ 400) = 1600Here,Â

b^{2}Â â€“ 4acÂ > 0Thus, the equation will have real roots. And hence, the desired rectangular mango grove can be designed.

lÂ= Â±20As 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