A rectangular plot of farmland will be bounded on one side by a river and on the other sides by a single-strand electric fence. With 2000 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions?   Knowing that the maximum area of the rectangular plot is 50000 m2, what is the length of the shorter side of the retangular plot, and what is the length of the longer side of the rectangular plot?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.5: Solve Applications Of Quadratic Equations
Problem 9.74TI: A rectangular tablecloth has an area of 80 square feet. The width is 5 feet shorter than the length...
icon
Related questions
icon
Concept explainers
Topic Video
Question

A rectangular plot of farmland will be bounded on one side by a river and on the other sides by a single-strand electric fence. With 2000 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions?  

Knowing that the maximum area of the rectangular plot is 50000 m2, what is the length of the shorter side of the retangular plot, and what is the length of the longer side of the rectangular plot?

 

Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

Step 2

Calculus homework question answer, step 2, image 1

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning