The perimeter of a rectangle is P = 2L + 2W, where L is the length and W is the width of the rectangle. How fast is the perimeter increasing if the length is increasing at a rate of 10 ft/sec, and the width is decreasing at a rate of 3 ft/sec? Express your answer as a decimal if necessary. Be sure to include proper units!

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
icon
Related questions
Topic Video
Question

4

The perimeter of a rectangle is P = 2L + 2W, where L is the length and W is the width of the
rectangle.
How fast is the perimeter increasing if the length is increasing at a rate of 10 ft/sec, and the
width is decreasing at a rate of 3 ft/sec?
Express your answer as a decimal if necessary. Be sure to include proper units!
Transcribed Image Text:The perimeter of a rectangle is P = 2L + 2W, where L is the length and W is the width of the rectangle. How fast is the perimeter increasing if the length is increasing at a rate of 10 ft/sec, and the width is decreasing at a rate of 3 ft/sec? Express your answer as a decimal if necessary. Be sure to include proper units!
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
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
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra: Structure And Method, Book 1
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