A wire that is 16 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. 16 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 (2) = 0 (b) Find the side length x 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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A wire that is 16 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.
16 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 (2) = 0
(b) Find the side length x 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 16 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. 16 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 (2) = 0 (b) Find the side length x 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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