A rectangular garden is to be enclosed on three sides by fencing; the fourth side is the side of a barn. you h

a rectangular garden is to be enclosed on three sides by fencing; the fourth side is the side of a barn. you have $750 to spend and the appropriate fencing costs $2.75 per linear foot. what are the dimensions of the largest garden that you can enlose and how much will it cost?|||I can tell this is math homework. No gardener would put their stuff up against a barn... nothing would grow in shade like that.





$750 / 3 = $250 each of the 3 sides





$250 = 90.91





Therefore you should make each of the three sides 90 feet, for a cost of $742.50.





Unless you want to go down to the mm.





But now it's not rectangular, it's a square.


You also never said how wide the barn was.... there is a possibility that you could make the fence too wide and there would be a gap of which it is impossible to know about with this question.|||Math homework, definitely math homework.





The largest area (for a given length of fence, i.e. a max cost of fence) will be surrounded by a fence that's twice as long (along the barn side), as it is deep.





Depending upon what grade you are in will determine how you decide this. If you have differential calculus, you should know min-max applications. Otherwise, you'll have to make a table and look for the trend toward the largest area value. My kids had this in fifth grade, it's a well-known problem.