SOLUTION: Find the dimensions of the rectangular corral producing the greatest enclosed area given 160 feet of fencing. (Assume that the length is greater than or equal to the width.)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the dimensions of the rectangular corral producing the greatest enclosed area given 160 feet of fencing. (Assume that the length is greater than or equal to the width.)       Log On


   

Question 1155357: Find the dimensions of the rectangular corral producing the greatest enclosed area given 160 feet of fencing. (Assume that the length is greater than or equal to the width.)


Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Square shape; typical exercise; this example, 40-foot sides, each.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

It is a classic problem on finding optimal dimension.

This problem was solved  MANY  TIMES  in this forum.

Therefore,  I created lessons at this site,  explaining the solution in all details.

The lessons are under these links
    - A rectangle with a given perimeter which has the maximal area is a square
    - A farmer planning to fence a rectangular garden to enclose the maximal area

Read these lessons attentively.
Consider them as your TEMPLATES.
Having these templates in front of you,  solve the  GIVEN  problem by the same way.

Having it written one time,  I do not see any reasons to re-write it again and again with every new posted data set.

By the way,  in these lessons,  you will find many useful links to accompanied lessons.
Do not miss them.

Consider my lessons as your textbook,  handbook,  tutorial and  (free of charge)  home teacher.