SOLUTION: Please help and show all work. Thanks A rancher has 280 feet of fence with which to enclose three sides of a rectangular field (the fourth side is a cliff wall and will not re

Question 1021032: Please help and show all work. Thanks

A rancher has 280 feet 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 =_______ feet
width = ________feet
What is the largest area possible for this field?
area =________ feet-squared
Enter your answers as numbers. If necessary, round to the nearest hundredths.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A rancher has 280 feet 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).)
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You want to solve for length and width.
length =_______ feet ************ This is just irritating. Why enter it?
width = ________feet ************ This is just irritating. Why enter it?
What is the largest area possible for this field?
area =________ *************This is just irritating. Why enter it?
----
Enter your answers as numbers. *** Oh, as numbers? What else could they be? Morse code?
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If necessary, round to the nearest hundredths.
You can't do the rounding? Why not?
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The max area using a given amount of fence for 3 sides --> length = 2*width.
I can prove it if needed.
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