How do their areas vary? What is the shape of the rectangle with the largest area? Now compute the area enclosed by a circular pool with a perimeter (circumference) of 1000 feet. What would be your choice of shape for the pool? If rectangular, what is your preference for dimensions? Justify your choice. If your only objective is to have a pool that encloses the most area, what shape should you use?
Answer to Problem 57AYU
Circular type pool.
Explanation of Solution
Given:
You have 1000 feet of flexible pool siding and intend to construct a swimming pool. Experiment with rectangular- shaped pools with perimeters of 1000 feet.
Calculation:
Given, the circumference of the rectangular pool is 1000 feet.
Possibly and .
Area of the rectangular pool is feet.
Given, the circumference of the circular pool is 1000 feet.
Area of the circular pool is feet.
I suggest circular type pool.
Chapter A.2 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus: Early Transcendentals (3rd Edition)
Precalculus
University Calculus: Early Transcendentals (4th Edition)
Glencoe Math Accelerated, Student Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning