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
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
icon
Related questions
Question

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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College