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Let b be the breadth of rectangular varanda
and length be l
According to the question,
@ l = 3 metre + b-----------equation 1
@ 2(l+b) = l×b
2(3+b+b) = 3+b×b
2(3+2b) = 3b+b^2
6 + 4b = 3b + b^2
b² + 3b - 4b -6 = 0
b² -b -6 = 0
b² -3b +2b -6 =0
b(b-3) + 2(b-3) =0
( b+2 ) (b-3 ) =0
b= -2 b= +3
∴ b=3 metre
From equation 1
l = 3+b
= 3+3
∴l= 6 metre
HOPE IT HELPS YOU !!!!!!!!!!!!!!
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