A farmer wants fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $18 per linear foot to install and the farmer is not willing to spend more than $9000, find the dimensions for the plot that would enclose the most area. (Enter the dimensions as a comma separated list.)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 37E: Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat...
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A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the
fencing costs $18 per linear foot to install and the farmer is not willing to spend more than $9000, find the dimensions for the plot that would enclose the most area. (Enter the dimensions as a comma separated list.)
Transcribed Image Text:A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $18 per linear foot to install and the farmer is not willing to spend more than $9000, find the dimensions for the plot that would enclose the most area. (Enter the dimensions as a comma separated list.)
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