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The length of a hall is 5 m more than its breadth. If the area of the floor of the hall is 84 m2, what are the length and breadth of the hall? |
Answer» Let the breadth of the hall be ‘a’ Length = a + 5 Given, area of the floor of the hall is 84 m2 ⇒ a(a + 5) = 84 ⇒ a2 + 5a – 84 = 0 ⇒ a2 + 12a – 7a – 84 = 0 ⇒ a(a + 12) – 7(a + 12) = 0 ⇒ (a – 7)(a + 12) = 0 ⇒ a = 7 m Length of the hall = 7 + 5 = 12 m |
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