the length of a rectangular Varanda is 3 metres more than its breadth the numerical value of its area is equal to the numerical value of its perimeter taking as thebreadth of the varendah write an eguation in x that represents the above statement
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let breadth be x
so length will be (x+3)
perimeter of hall=area of hall
2(l+b)=l×b
2(x+x+3)=x(x+3)
4x+6=x^2+3x
x^2+3x-4x-6=0
x^2-x-6=0
x^2-3x+2x-6=0
x(x-3)+2(x-3)=0
(x+2)(x-3)=0
x=3m. [as distance cannot be negative]
breadth =3m
length=x+3
=6m
hope it helps
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