Question

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

Answer 1

Let the breadth of the rectangular hall be x meters.

Therefore, the length of the rectangular hall will be (x + 3) meters. 

According to the question:

x(x + 3) = 238 

⇒ x² + 3x = 238 

⇒ x² + 3x – 238 = 0 

⇒ x² + (17 – 14)x – 238 = 0 

⇒ x² + 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 breadth of the hall is 14 meters and the length is 17 meters.