Question

The length of a hall is 5 m more than the breadth. If the area of the floor of the hall is 84m2, find the length and breadth of the hall. 

Answer 1

Let the breadth of the hall be a. Then length = a+S Area = Length x Breadth

⇒ 84= (a+5) x a 

⇒  a² + 5a -84 = 0 

⇒ a²+12a - 7a - 84 = 0 

⇒ a (a + 12) - 7(a + 12) = 0 

⇒ (a+12) (a - 7) = 0 ; Hence a = 7 

Hence, sides of the hall are 7 and 12 m.