A piece of wire is 24 cm long. 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 cm) of one square is x. a. Find a function that gives the total area A(x) enclosed by the two squares (in square cm) in terms of x. b. Find the side length x that minimizes the total area of the two squares. c. What is the minimum area enclosed by the two squares?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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A piece of wire is 24 cm long. 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 cm) of one square is x.

a. Find a function that gives the total area A(x) enclosed by the two squares (in square cm) in terms of x.

b. Find the side length x that minimizes the total area of the two squares.

c. What is the minimum area enclosed by the two squares?

 

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