The length of a rectangular hall is 5 m more than its breadth. The area of the hall is 7502. The length of the hall is : Choose the correct option:
A) 15m B) 22.5m C) 25m D) 30m E) None of these
Solution   Let breadth = x metres. Then, length = (x + 5) metres.   Then, x(x + 5) = 750 ⇔ x2 + 5x - 750 = 0 ⇔ (x + 30) (x - 25) = 0 ⇔ x = 25.   ∴ Length = (x + 5) = 30 m Answer 30m
<result>D</result>
The length of a rectangular hall is 5 m more than its breadth. The area of the hall is 7502. The length of the hall is :