The length of a rectangle hall is 5 m more than its breadth. The area of the hall is 750 m2. The length of the hall is : Choose the correct choice from the following.
A) 15 m  B) 22.5 m  C) 25 m  D) 30 m  E) none of these

Rationale: solution let breadth = x metres . then , length = ( x + 5 ) metres . then x ( x + 5 ) = 750 ⇔ x 2 + 5 x − 750 = 0 ⇔ ( x + 30 ) ( x + 25 ) = 0 ⇔ x = 25 . ∴ length = ( x + 5 ) = 30 m . answer d
Answer: D