length of a rectangle is twice its breadth. if ratio of the perimeter of the rctangle and 6 times its length is 1:2. find the dimensions of the rectangle

L = 2W

2(L+W):6L = 1:2
L+W/3L = 1/2
(2W+W)/(3*2W) = 1/2
3W/6W = 1/2
3/6 = 1/2

This is true for any value of W! I suspect the question has been mangled.