SOLUTION: A farmer has 1832 feet of fencing available to enclose a rectangular area bordering a river. No fencing is required along the river. Let x represent the length of the fence that is

Algebra ->  Functions -> SOLUTION: A farmer has 1832 feet of fencing available to enclose a rectangular area bordering a river. No fencing is required along the river. Let x represent the length of the fence that is      Log On


   



Question 1135913: A farmer has 1832 feet of fencing available to enclose a rectangular area bordering a river. No fencing is required along the river. Let x represent the length of the fence that is parallel to the river. Complete parts a. through c.


A rectangular area borders a river on one of its horizontal sides and has its other horizontal side labeled as x
x
River
a. Create a​ function, A(x), that describes the total area of the rectangular enclosure as a function of​ x, where x is the length of the rectangular enclosure that is parallel to the river.

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
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A farmer has 1832 feet of fencing available to enclose a rectangular area bordering a river. No fencing is required along the river. Let x represent the length of the fence that is parallel to the river.
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x, the length along the river

%281832-x%29%2F2, the other dimension of the enclosed area along the river

A(x), the area function
highlight%28A%28x%29=x%281832-x%29%2F2%29

Answer by ikleyn(52887) 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.

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

The referred lesson is 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.