Let the width of the rectangle be x
Then, the length of the rectangle will be 2x
The area of the rectangle will be
2x(x)=2x^2
Since the area of the rectangle is 162cm2
2x^2=162
x^2=81
x=9
Width of the rectangle=9
Length of the rectangle=9x2=18
Perimeter of a rectangle
=2(width) + 2(length)
=2(9)+2(18)
=54cm