A wire that is 32 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. 32 cm (a) Find a function that gives the total area A (x) enclosed by the two squares (in square centimeters) in terms of x. 4 (+) - (b) Find the side length x that minimizes the total area of the two squares. Side length |centimeters INB =) 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...
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A wire that is 32 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.
32 cm
(a) Find a function that gives the total area A (x) enclosed by the two squares (in
square centimeters) in terms of x.
4 (+) = I
(b) Find the side length xr that minimizes the total area of the two squares.
Side length
x :
|centimeters
(c) What is the minimum area enclosed by the two squares?
Minimum area: square centimeters
Transcribed Image Text:A wire that is 32 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. 32 cm (a) Find a function that gives the total area A (x) enclosed by the two squares (in square centimeters) in terms of x. 4 (+) = I (b) Find the side length xr that minimizes the total area of the two squares. Side length x : |centimeters (c) What is the minimum area enclosed by the two squares? Minimum area: square centimeters
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