Question 714474
The sheet in one direction is w long, and in the other direction is 2w long.  A 2 inch by 2 inch corner is being removed and the flaps be turned, folded to form the open box.  That means, the base of this open box will be {{{w-2*2}}} by {{{2w-2*2}}}.  


The volume, given as 60 cubic inches, is the area of the base multiplied by how high this box is, and is given as 2 inches high, since a=2.  

Volume, {{{highlight(60=(w-2*2)(2w-2*2)*2)}}}
{{{60=2*2(w-4)(w-2)}}}
{{{15=(w-4)(w-2)}}}
{{{15=w^2-6w+8}}}
{{{w^2-6w-7=0}}}
{{{highlight((w-7)(w+1) =0)}}}


The only value that makes sense is w=7 inches.
The sheet is 7 inches by 14 inches.