A piece of wire 10 m long is cut into two pieces. One pieceis bent into a square and the other is bent into an equilateraltriangle. How should the wire be cut so that the total areaenclosed is (a) a maximum? (b) A minimum?

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 97E
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A piece of wire 10 m long is cut into two pieces. One piece
is bent into a square and the other is bent into an equilateral
triangle. How should the wire be cut so that the total area
enclosed is (a) a maximum? (b) A minimum?

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