A rancher has 140 meters of fence with which to enclose three sides of a rectangular field (the fourth side is a cliff wall and will not require fencing). Find the dimensions of the field with the largest possible area. (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side).)

length = meters
width = meters

What is the largest area possible for this field?
area = meters-squared

Enter your answers as numbers. If necessary, round to the nearest hundredths.