I decided to start a garden in my backyard. ree weekS ugit 80 feet of wire to enclose a rectangular space within my fenced backyard. I decided to enclose three sides, and I will use a section of the backyard fence as the fourth side. What dimensions should I make my garden to maximize the enclosed area? Hint: You might find it useful to find the formula for the area enclosed by the fence if the sides of fencing perpendicular to the existing fence have length L. Solution. Please write your detailed solution here:
I decided to start a garden in my backyard. ree weekS ugit 80 feet of wire to enclose a rectangular space within my fenced backyard. I decided to enclose three sides, and I will use a section of the backyard fence as the fourth side. What dimensions should I make my garden to maximize the enclosed area? Hint: You might find it useful to find the formula for the area enclosed by the fence if the sides of fencing perpendicular to the existing fence have length L. Solution. Please write your detailed solution here:
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.CT: Test
Problem 17CT: Pascual is remodeling a house and plans a complete drywall for one 8-foot-high room. Dimensions for...
Related questions
Question
Transcribed Image Text:I decided to start a garden in my backyard. Three weeks ago I bought 80
feet of wire to enclose a rectangular space within my fenced backyard. I decided to enclose three sides,
and I will use a section of the backyard fence as the fourth side.
What dimensions should I make my garden to maximize the enclosed area?
Hint: You might find it useful to find the formula for the area enclosed by the fence if the sides of
fencing perpendicular to the existing fence have length L.
Solution. Please write your detailed solution here:
Expert Solution
Step 1
It is given that the three sides has to be enclosed using 80 ft of wire.
Let x be the length and y be the width.
Since only three sides are there, the perimeter will be the sum of .
That is, .
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
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
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL