is 24 centimeters long is shown below. The wire is cut into two pieces, and each piece is bent and formed into the shape of a square. Suppose that the side length (in centimeters) of one square is x, as shown below. 24 cm (a) Find a function that gives the total area A (x) enclosed by the two squares (in square centimeters) in terms of x. A (x) = 0 %3D (b) Find the side length x that minimizes the total area of the two squares. Side length r : centimeters (c) What is the minimum area enclosed by the two squares? Minimum area: square centimeters

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 2CC: (a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c...
icon
Related questions
Question
A wire that is 24 centimeters long is shown below.
The wire is cut into two pieces, and each piece is bent and formed into the shape of a square.
Suppose that the side length (in centimeters) of one square is x, as shown below.
24 cm
(a) Find a function that gives the total area A (x) enclosed by the two squares (in
square centimeters) in terms of x.
1 (+) = D
(b) Find the side length x that minimizes the total area of the two squares.
Side length
| centimeters
(c) What is the minimum area enclosed by the two squares?
Minimum area:
square centimeters
Transcribed Image Text:A wire that is 24 centimeters long is shown below. The wire is cut into two pieces, and each piece is bent and formed into the shape of a square. Suppose that the side length (in centimeters) of one square is x, as shown below. 24 cm (a) Find a function that gives the total area A (x) enclosed by the two squares (in square centimeters) in terms of x. 1 (+) = D (b) Find the side length x that minimizes the total area of the two squares. Side length | centimeters (c) What is the minimum area enclosed by the two squares? Minimum area: square centimeters
Expert Solution
Step 1

Given query is to find the area function and minimum area.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
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