**Using Quadratic Formula to solve Quadratic Equations**

**Ncert Solutions Chapter 4 Quadratic Equations Exercise 4.3 Q6 Download this solution**

**6. The diagonal of a rectangular field is 60 metres more than the shorter side. If, the longer side is 30 metres more than the shorter side, find the sides of the field.**

Solution.

Let shorter side of rectangle = metres

Let diagonal of rectangle = metres

Let longer side of rectangle = metres

**According to pythagoras theorem, we can say that**

**Comparing equation** **with standard form **, we get

and

Applying quadratic formula , we get

Length cannot be in negative. Therefore, we ignore -30.

**Therefore which means length of shorter side = metres and length of longer side = = metres**

Therefore, length of sides are **90 **and **120 **in **metres**