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Answer :

If the length= v
Then the width=v-2

Area= length x width
48= v(v-2)
48= v^2 -2v
v^2 -2v -48=0
(v-8)(v+6)=0
then v= 8 and v=-6
Since length cannot be negative so v=8
And width=v-2
= 8-2=6

So length= 8 m
Width= 6 m