Concept explainers
(a)
To write: the width
(a)
Answer to Problem 9RE
The product of length and width
Explanation of Solution
Given information:
The perimeter of a rectangle is 1000 meters.
Calculation:
Since perimeter is the length of the outer boundary,
So, width in terms of length is
Also, area is the product of length and width, So,
(b)
To find: the dimensions of the one with the maximum area.
(b)
Answer to Problem 9RE
The dimensions of the rectangle with maximum area are
Explanation of Solution
Given information:
Of all possible rectangles with perimeter of 1000 meters.
Calculation:
Since area should be maximum, first write this equation in the standard form.
Maximum area occurs at the vertex, when
So, the dimensions of the rectangle with maximum area are
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
- 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