The government gives 3 farmers each 200 yards of fence and tells the farmers that they can claim any rectangular plot that is completely enclosed by their fence. a. Mark starts with a width that is 20 yards longer than the length. Express the area as a function of the length 1. b. Tommy starts with a length 25 yards longer than the width. Express the area as a function of the length 1. c. Joe, the shrewdest of the trio, scribbles some numbers on a piece of paper before he sets the length of his plot. Given that farmer Joe gets the maximum area for his fence, what are the length 1, width w, area, and perimeter of his plot?
The government gives 3 farmers each 200 yards of fence and tells the farmers that they can claim any rectangular plot that is completely enclosed by their fence. a. Mark starts with a width that is 20 yards longer than the length. Express the area as a function of the length 1. b. Tommy starts with a length 25 yards longer than the width. Express the area as a function of the length 1. c. Joe, the shrewdest of the trio, scribbles some numbers on a piece of paper before he sets the length of his plot. Given that farmer Joe gets the maximum area for his fence, what are the length 1, width w, area, and perimeter of his plot?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. The government gives 3 farmers each 200 yards of fence and tells the farmers that they can claim any
rectangular plot that is completely enclosed by their fence.
a. Mark starts with a width that is 20 yards longer than the length. Express the area as a function of
the length I.
b. Tommy starts with a length 25 yards longer than the width. Express the area as a function of the
length l.
c. Joe, the shrewdest of the trio, scribbles some numbers on a piece of paper before he sets the
length of his plot. Given that farmer Joe gets the maximum area for his fence, what are the length l,
width w, area, and perimeter of his plot?
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