SOLUTION: A rectangular field is to be bounded by a fence on three sides and by a straight stream on the fourth side. Find the dimensions of the field with maximum area that can be enclosed

Algebra.Com
Question 1171195: A rectangular field is to be bounded by a fence on three sides and by a straight stream on the fourth side. Find the dimensions of the field with maximum area that can be enclosed with 1000 feet of fencing.
Answer by ikleyn(52772)   (Show Source): You can put this solution on YOUR website!
.

See the lesson
    - A farmer planning to fence a rectangular area along the river to enclose the maximal area
in this site.


A  TWIN  problem was solved there - it is your  TEMPLATE.

Read this lesson attentively,  and then solve your problem in the same way.

The answer is  500 ft  along the river and  250 ft  perpendicularly to it.


At the end of this lesson,  you will find the links to many other associated lessons on finding minimum/maximum.

Do not miss them.

It is interesting reading  (my gift to you (!) )  to make your horizon wider (!)



RELATED QUESTIONS

A field is bounded on one side by a river. A farmer wants to enclose the other three... (answered by nerdybill)
A rectangular lot is to be bounded by a fence on three sides and by a wall on the fourth... (answered by ankor@dixie-net.com)
My question is, Math grade 4-8 A rectangular plot is bounded on one side by a straight (answered by Earlsdon)
A rectangular field is enclosed by a fence on three sides and a wall on the fourth side.... (answered by ikleyn,greenestamps)
One side of the rectangular field is bounded by a river. A farmer has 100m of fencing and (answered by LinnW)
A rectangular plot, bounded on one side by a river, is to be enclosed on the other 3... (answered by ankor@dixie-net.com)
A rectangular plot of farmland is bounded on one side by a river and the other three... (answered by checkley77)
A rectangular plot of farmland is bounded on one side by a river and the other three... (answered by Fombitz)
A rectangular piece of land, bounded on one side by a river, is to be fenced on the other (answered by rfer)