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Question
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?
Solution
Let the breadth of the rectangular hall be x meters and the length = (x + 5) meters Then
And area of the rectangle
length x breadth = 84
(x + 5)x = 84
x2 + 5x - 84 = 0
x2 - 7x + 12x - 84 = 0
x(x - 7) + 12(x - 7) = 0
(x - 7)(x + 12) = 0
x - 7 = 0
x = 7
or
x + 12 = 0
x = -12
Sides of the rectangular hall never are negative.
Therefore, length
= x + 5 = 7 + 5 = 12
Hence, breadth of the hall be 7 meters and length be 12 meters.
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