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Homework Statement
A 20-inch piece of wire is to be cut into three pieces. From one piece is made a square and from another is made a rectangle with length equal to twice its width. From the third is made an equilateral triangle. How should the wire be cut so that the sum of the three areas is a maximum?
Homework Equations
Square: A=L^2
Rectangle: A=1/2 L^2
Equilateral Triangle: A=√(3/4) L^2
The Attempt at a Solution
Where do I begin?
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