A farmer needs to enclose three sides of a plot with a fence (the fourth side is a river). The farmer has 34 feet of fence and wants the plot to have an area of 140 sq-feet. What should the dimensions of the plot be? (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). Additionally, the length should be as long as possible.)

length = feet
width = feet

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