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University of North Texas

# 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?

## (a) For maximum area, all the wire should be used to make the square(b) For minimum area, 4.35 $\mathrm{m}$ should be used for square and 5.65 $\mathrm{m}$ should be used for the equilateral triangle

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University of North Texas

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