A triangle is called equilateral if the length of its three sides are the same. The surface are | and the perimeter P of an equilateral triangle of a given length s for each side are provided, V3 A = 4 P = 3s and he perimeter of an equilateral triangle is increasing at a rate of 5 feet per hour. Find the correspondin ate of change of its area when the perimeter is 6 feet. Include units.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.3: Solving Problems Involving Inequalities
Problem 14P
icon
Related questions
icon
Concept explainers
Topic Video
Question

see attached

A triangle is called equilateral if the length of its three sides are the same. The surface area
A and the perimeter P of an equilateral triangle of a given length s for each side are provided,
V3
A =
4
and
P = 3s
The perimeter of an equilateral triangle is increasing at a rate of 5 feet per hour. Find the corresponding
rate of change of its area when the perimeter is 6 feet. Include units.
Transcribed Image Text:A triangle is called equilateral if the length of its three sides are the same. The surface area A and the perimeter P of an equilateral triangle of a given length s for each side are provided, V3 A = 4 and P = 3s The perimeter of an equilateral triangle is increasing at a rate of 5 feet per hour. Find the corresponding rate of change of its area when the perimeter is 6 feet. Include units.
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Angles, Arcs, and Chords and Tangents
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
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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax