The length of a rectangular hall is 5 m more than its breadth. The area of the…
2024
The length of a rectangular hall is 5 m more than its breadth. The area of the hall is 750 m ^ 2 . The breadth of the hall is
- A.
45 m
- B.
25 m
- C.
35 m
- D.
11 m
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Correct answer: B
Solution: Let the breadth be x m.
Then the length is (x + 5) m.
Area = breadth × length, so x(x + 5) = 750, which gives x² + 5x − 750 = 0.
Factor the quadratic: (x + 30)(x − 25) = 0, so x = −30 or x = 25.
Discard x = −30 because breadth cannot be negative. Therefore the breadth is 25 m.