A Piece of Wire $14 \mathrm {~m}$ Long Is Cut into Two Pieces

question 22

Multiple Choice

A piece of wire $14 \mathrm {~m}$ 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 for the square so that the total area enclosed is a minimum?
Round your answer to the nearest hundredth. Select the correct answer.

• A) \(0 \mathrm {~m}\)
• B) \(6.09 \mathrm {~m}\)
• C) \(8.09 \mathrm {~m}\)
• D) \(10.09 \mathrm {~m}\)
• E) \(9.09 \mathrm {~m}\)

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Definitions:

Bluffing

A strategy in negotiations or decision-making processes involving pretense or deception to gain an advantage.

Distributive Bargaining

A negotiation strategy in which parties seek to divide a fixed amount of resources, often resulting in a win-lose outcome.

Attitudinal Structuring

The process by which labor negotiations and management strategies aim to influence the attitudes and perceptions of the other party or the workforce.

Settlement Range

The range within which an agreement is acceptable to both parties involved in a negotiation, often determined by their respective needs and interests.