SOLUTION: I would really appreciate a response on this: Jesse wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence on

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Question 1167947: I would really appreciate a response on this:
Jesse wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence on that side. The other three sides will be enclosed with wire fencing. If Jesse has 400 feet of fencing, you can find the dimensions that maximize the area of the enclosure.
a) Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn). Write an function for the area A of the enclosure in terms of w.(HINT first write two equations with w and l and A. Solve for l in one equation and substitute for l in the other).
A(w)= ?

b) What width w would maximize the area?
w = ? ft
c) What is the maximum area?
A = ? square feet

Answer by ikleyn(52787) About Me  (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, where the TWIN problem is solved with complete explanations.

This solution is your TEMPLATE to learn from.


You may also read the associated lessons from attached links.


Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Finding minimum/maximum of quadratic functions".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.


Happy learning (!)