Let the breadth of mango grove be l.

Length of mango grove will be 2l.

Area of mango grove = (2l) (l)= 2l^{2}

2l^{2 }= 800

l^{2 }= \( \dfrac{800}{2}\) = 400

l^{2 }– 400 =0

Comparing the given equation with ax^{2} + bx + c = 0, we get

a = 1, b = 0, c = 400

As we know, Discriminant = b^{2} – 4ac

= (0)^{2} – 4 × (1) × ( – 400) = 1600

Here, b^{2} – 4ac > 0

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

l = ±20

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

Therefore, breadth of mango grove = 20 m

Length of mango grove = 2 × 20 = 40 m

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