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.

AnilSinghBoraGuru

# 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

Share

Let the breadth of mango grove be

l.Length of mango grove will be 2

l.Area of mango grove = (2

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

l^{2 }= 800l^{2 }= 800/2 = 400l^{2 }– 400 =0Comparing the given equation with

ax^{2}+bx+c= 0, we geta= 1,b= 0,c= 400As we know, Discriminant =

b^{2}– 4ac=> (0)

^{2}– 4 × (1) × ( – 400) = 1600Here,

b^{2}– 4ac> 0Thus, the equation will have real roots. And hence, the desired rectangular mango grove can be designed.

l= ±20As we know, the value of length cannot be negative.

Therefore, breadth of mango grove = 20 m

Length of mango grove = 2 × 20 = 40 m