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Mrs. Pack wants to teach her children responsibility and how to work while helping them earn money for college. She decides to raise pigs and chickens. She plans on building an animal pen for the pigs and chickens adjacent to her barn. One side of the pen will be against her barn and will not require fencing, but the other sides need a fence. She also needs to put a fence down the middle to divide the area into two congruent pens, one for the pigs and one for the chickens (see image). She has 120 feet of fence to use for the project and wants to maximize the area to give her animals the largest pen possible. Part B: Determine the dimensions (length and width) for each segment of fence she needs put up. Round to the nearest whole number. Type in the length first, comma, then the width respectively. length = width = width length

Mrs. Pack wants to teach her children responsibility and how to work while helping them earn money for college. She decides to raise pigs and chickens. She plans on building an animal pen for the pigs and chickens adjacent to her barn. One side of the pen will be against her barn and will not require fencing, but the other sides need a fence. She also needs to put a fence down the middle to divide the area into two congruent pens, one for the pigs and one for the chickens (see image). She has 120 feet of fence to use for the project and wants to maximize the area to give her animals the largest pen possible. Part B: Determine the dimensions (length and width) for each segment of fence she needs put up. Round to the nearest whole number. Type in the length first, comma, then the width respectively. length = width = width length

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.CR: Review Exercises
Problem 40CR
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Max the Area. First Part A then Part B

Mrs. Pack wants to teach her children responsibility and how to work while helping them earn money for college. She decides to raise pigs and chickens. She plans on building an animal pen for the pigs and chickens adjacent to her barn. One side of the pen will be against her barn and will not require fencing, but the other sides need a fence. She also needs to put a fence down the middle to divide the area into two congruent pens, one for the pigs and one for the chickens (see image). She has 120 feet of fence to use for the project and wants to maximize the area to give her animals the largest pen possible. Part B: Determine the dimensions (length and width) for each segment of fence she needs to put up. Round to the nearest whole number. Type in the length first, comma, then the width respectively. length = width = width length
Transcribed Image Text:Mrs. Pack wants to teach her children responsibility and how to work while helping them earn money for college. She decides to raise pigs and chickens. She plans on building an animal pen for the pigs and chickens adjacent to her barn. One side of the pen will be against her barn and will not require fencing, but the other sides need a fence. She also needs to put a fence down the middle to divide the area into two congruent pens, one for the pigs and one for the chickens (see image). She has 120 feet of fence to use for the project and wants to maximize the area to give her animals the largest pen possible. Part B: Determine the dimensions (length and width) for each segment of fence she needs to put up. Round to the nearest whole number. Type in the length first, comma, then the width respectively. length = width = width length
Mrs. Pack wants to teach her children responsibility and how to work while helping them earn money for college. She decides to raise pigs and chickens. She plans on building an animal pen for the pigs and chickens adjacent to her barn. One side of the pen will be against her barn and will not require fencing, but the other sides need a fence. She also needs to put a fence down the middle to divide the area into two congruent pens, one for the pigs and one for the chickens (see image). She has 120 feet of fence to use for the project and wants to maximize the area to give her animals the largest pen possible. Part A: Determine the maximum area of the animal pen. (Solve for l(w)=, build A(w)=, etc.) then use your graphing calculator to determine the maximum area by graphing A(w). Round to the nearest whole number. Hint: Use the following window or something similar. X-min: -10 X-max: 50 у-min: -500 у-max: 1500
Transcribed Image Text:Mrs. Pack wants to teach her children responsibility and how to work while helping them earn money for college. She decides to raise pigs and chickens. She plans on building an animal pen for the pigs and chickens adjacent to her barn. One side of the pen will be against her barn and will not require fencing, but the other sides need a fence. She also needs to put a fence down the middle to divide the area into two congruent pens, one for the pigs and one for the chickens (see image). She has 120 feet of fence to use for the project and wants to maximize the area to give her animals the largest pen possible. Part A: Determine the maximum area of the animal pen. (Solve for l(w)=, build A(w)=, etc.) then use your graphing calculator to determine the maximum area by graphing A(w). Round to the nearest whole number. Hint: Use the following window or something similar. X-min: -10 X-max: 50 у-min: -500 у-max: 1500
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