we can give the width and length variables. lets call them x and y respectively. we know that y=2x-4
the perimeter is equal to 2x + 2y or 2(x + y).
the perimeter in terms of x is 2(x + 2x-4) = 2(3x-4) = 6x-8
6x-8=46
6x=54
x=9cm
if y=2x-4, then y=9*2 - 4=18-4=14.
y=14cm
the width is 9cm and the length is 14cm