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Answer :

w = x

l = 6x

a = w*l

a = 6x*x = 486

6x^2 = 486

x^2 = 486/6

x^2 = 81

x=9 which is the width

the length will be 6*9=54

the perimeter will be 2L+2W

2*9 + 2*54

18+108

= 126 cm