Alg3.2.11

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The length of the hall is 5meters more than its breadth.If the area of the floor of the hall is 84square meters,what are the length and breadth of the hall.

Let the breadth of the hall be x\,

Hence the length of the hall is (x+5)\,

The area of the floor is x(x+5)\,

Given x^2+5x=84\,

x^2+5x-84=0,x^2+12x-7x-84=0,x(x+12)-7(x+12)=0\,

(x+12)(x-7)=0,x=-12,x=7\,

Since the breadth cannot be negative,the x value is taken as 7.

Therefore,the length and breadth of the hall is 12,7\, respectively.


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