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Question

The area of a small rectangular plot is 84m2. If the difference between its length and the breadth is 5 m; find its pereimeter.


Solution

Area of a rectangular plot =84m2

Let breadth =x m

Then length =(x+5) m

Area =l×b

x(x+5)=84

x2+5x84=0

x2+12x7x84=0

x(x+12)7(x+12)=0

(x+12)(x7)=0

Either x+12=0, then x =-12 which is not possible being negative or x-7=0, then x=7

Length =x+5=7+5=12 m and breadth =x=7 m

Perimeter =2(l+b)

=2(12+7)=2×19m=38m

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