Rectangular page contain
of print.
So the printed area inside margins is
.

The margins on each side are
.
The margins on length is
.
The margins on width is
.
Minimised area is
.
Substitute
in the above equation.


Apply derivative on each side with respect to
.

To find minimum amout of paper is used, equate
to zero.


Substitute
in
.

The dimensions of the paper that the least amount of paper is used :
\Length of the paper is
.
Width of the paper is
.
The dimensions of the paper that the least amount of paper is used :
\Length of the paper is
.
Width of the paper is
.