A farmer wants to make three identical rectangular enclosures next to his barn (shaded rectangle), as shown below. If he has only 200 ft of fence and if the side along the barn needs no fence. What are the dimensions that would maximize the area and what is the largest total area that can be enclosed in this way? (Give exact answers in the lowest terms) Answer: total length of enclosure width Маx Area

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 34E: The farmer in Exercise 33 has decided to take the fencing purchased and use it to enclose the...
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3. A farmer wants to make three identical rectangular enclosures next to his barn (shaded
rectangle), as shown below. If he has only 200 ft of fence and if the side along the barn needs
no fence. What are the dimensions that would maximize the area and what is the largest total
area that can be enclosed in this way? (Give exact answers in the lowest terms)
Answer: total length of enclosure
width
Max Area
Barn
Transcribed Image Text:3. A farmer wants to make three identical rectangular enclosures next to his barn (shaded rectangle), as shown below. If he has only 200 ft of fence and if the side along the barn needs no fence. What are the dimensions that would maximize the area and what is the largest total area that can be enclosed in this way? (Give exact answers in the lowest terms) Answer: total length of enclosure width Max Area Barn
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