Landon 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 Landon has 600 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 I 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

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Landon 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 Landon has 600 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 I 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 lin 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
Transcribed Image Text:Landon 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 Landon has 600 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 I 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 lin 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
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