The area of a rectangular field is 144 m2. If the length had been 6 metres more, the area would have been 54 m2 more. The original length of the field is Choose the correct option
A) 22 metres B) 18 metres C) 16 metres D) 24 metres E) none of these

Rationale: let the length and breadth of the original rectangular field be x m and y m respectively . area of the original field = x × y = 144 m 2 ∴ x = 144 ⁄ y . . . . . ( i ) if the length had been 6 m more , then area will be ( x + 6 ) y = 144 + 54 ⇒ ( x + 6 ) y = 198 … ( ii ) putting the value of x from eq ( i ) in eq ( ii ) , we get ( 144 ⁄ y + 6 ) y = 198 ⇒ 144 + 6 y = 198 ⇒ 6 y = 54 ⇒ y = 9 m putting the value of y in eq ( i ) we get x = 16 m answer c
Answer: C