**Using Quadratic Formula to solve Quadratic Equations**

**Ncert Solutions Chapter 4 Quadratic Equations Exercise 4.3 Q11 Download this solution**

**11. Sum of areas of two squares is . If, the difference of their perimeters is 24 metres, find the sides of the two squares.**

**Solution:**

Let perimeter of first square = metres

** **Let perimeter of second square = metres ** **

Length of side of first square = metres **{ Perimeter of square = 4 x length of side}**

Length of side of second square = metres

Area of first square = side x side =

Area of second square =

**According to given condition, we have**

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

.

**Applying Quadratic Formula** , **we get**

Perimeter of square cannot be in negative. Therefore, we discard .

Therefore, perimeter of first square = 48 metres

And, Perimeter of second square = metres

** Side of First square = Perimeter/4 = 48/4 = 12 metres**

**And, Side of second Square = Perimeter/4 = 72/4 = 18 metres**