**Nature of Roots of Quadratic Equation:**

**CBSE Ncert Solutions Chapter 4 Quadratic Equations Exercise 4.4 Q3 Download this solution**

**3. Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 . If so, find its length and breadth.**

**Solution:**

Let breadth of rectangular mango grove = metres

Let length of rectangular mango grove = metres

Area of rectangle = length x breadth = =

**According to given condition we have:**

**Comparing equation**, **with general form of quadratic equation** , **we get**

and

**Discriminant >0 means that equation has two disctinct real roots. Therefore, it is possible to design a rectangular grove.**

{We can directly solve this equation and we get }. Lets solve it using quadratic formula.

**Applying quadratic formula**, **to solve equation, we get**

We discard negative value of because breadth of rectangle cannot be in negative.

Therefore, = breadth of rectangle = 20 metres

Length of rectangle = metres

**Therefore, length of rectangle = 40 metres**

**And, Breadth of rectangle = 20 metres**