A farmer has 1,500 feet of fence and wishes to build two identical rectangular enclosures, as in the following figure. What should be the dimensions of each enclosure if the total area is to be a maximum? What is the area of each enclosure? Answer with an exact fraction or round to the nearest whole number. Each enclosure will have: width (shortest side) of length (longest side) of and area of feet, feet, square feet. W
A farmer has 1,500 feet of fence and wishes to build two identical rectangular enclosures, as in the following figure. What should be the dimensions of each enclosure if the total area is to be a maximum? What is the area of each enclosure? Answer with an exact fraction or round to the nearest whole number. Each enclosure will have: width (shortest side) of length (longest side) of and area of feet, feet, square feet. W
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section: Chapter Questions
Problem 40CLR
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![A farmer has 1,500 feet of fence and wishes to build two identical rectangular enclosures, as in the
following figure. What should be the dimensions of each enclosure if the total area is to be a
maximum? What is the area of each enclosure? Answer with an exact fraction or round to the nearest
whole number.
Each enclosure will have:
width (shortest side) of
length (longest side) of
and area of
feet,
feet,
square feet.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff821f9aa-4788-41c9-90a4-53f493bbfa90%2F390dcb4d-67c2-49e8-82d1-0beb2e5baa16%2Fgzfmlbu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A farmer has 1,500 feet of fence and wishes to build two identical rectangular enclosures, as in the
following figure. What should be the dimensions of each enclosure if the total area is to be a
maximum? What is the area of each enclosure? Answer with an exact fraction or round to the nearest
whole number.
Each enclosure will have:
width (shortest side) of
length (longest side) of
and area of
feet,
feet,
square feet.
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Step 1: Given data and requirement of the question
VIEWStep 2: Description of figure used in the question
VIEWStep 3: Calculation to represent y in terms of x
VIEWStep 4: Calculation to find the area in terms of x
VIEWStep 5: Calculation to find the critical value of x
VIEWStep 6: Calculation to find the value of x and y which will maximize the area
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