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Question
The length of a hall is 5 m more than the breadth. If the area of the floor of the hall is 84m2, find the length and breadth of the hall.
Solution
Let the breadth of the hall be a. Then length = a+S Area = Length x Breadth
⇒ 84= (a+5) x a
⇒ a2 + 5a -84 = 0
⇒ a2+12a - 7a - 84 = 0
⇒ a (a + 12) - 7(a + 12) = 0
⇒ (a+12) (a - 7) = 0 ; Hence a = 7
Hence, sides of the hall are 7 and 12 m.
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