To find: The function that models area of a rectangle in terms of its length
Answer to Problem 5P
The function that models area of given rectangle is
Explanation of Solution
The formula to calculate area of rectangle is,
Length of the rectangle is
Perimeter of rectangle is,
Substitute 20 for
Add
Summarize all the information in a table as shown below,
In Words | In Algebra |
Length |
|
Width |
|
Use the information in the table and model the function.
Thus, the function that models area of given rectangle is
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th 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