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$9000. Let x be the length of fence that's shared with the neighbor. Find a formula for the area A(x) enclosed by the fence and the barn. What is the maximum possible area enclosed?

$9000. Let x be the length of fence that's shared with the neighbor. Find a formula for the area A(x) enclosed by the fence and the barn. What is the maximum possible area enclosed?

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter9: Roots And Radicals
Section9.4: Multiply Square Roots
Problem 311E: An artist wants to make a small monument in the shape of a square base topped by a right triangle,...
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A farmer wants to fence in a rectangular plot of land adjacent to the south wall of his barn. No fencing is needed along the barn, and the fencing along the east side of the plot is shared with a neighbor who will evenly split the cost of that portion of the fence. Fencing costs $30 per linear foot to install and the farmer only wants to spend $9000. Let x be the length of fence that's shared with the neighbor. Find a formula for the area A(x) enclosed by the fence and the barn. What is the maximum possible area enclosed?
Transcribed Image Text:A farmer wants to fence in a rectangular plot of land adjacent to the south wall of his barn. No fencing is needed along the barn, and the fencing along the east side of the plot is shared with a neighbor who will evenly split the cost of that portion of the fence. Fencing costs $30 per linear foot to install and the farmer only wants to spend $9000. Let x be the length of fence that's shared with the neighbor. Find a formula for the area A(x) enclosed by the fence and the barn. What is the maximum possible area enclosed?
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