Question

The length of a hall is 3 meter more than its breadth. If the area of the hall is 238 sq meters, calculate its length and breadth. 

Answer 1

Let the breath of the rectangular hall be x meter.
Therefore, the length of the rectangular hall will be (x+3)meter. 

According to the question: 

`x(x+3)=238` 

⇒ `x^2+3x=238` 

⇒`x^2+3x-238=0` 

⇒`x^2+(17-14)x-238=0` 

⇒`x^2+17x-14x-238=0` 

⇒`x(x+17)-14(x+17)=0`  

⇒`(x+17) (x-14)=0` 

⇒`x=-17  or  x=14` 

But the value x cannot be negative.
Therefore, the breath of the hall is 14 meter and the length is 17 meter.