A Rectangular Playing Field with a Perimeter of 98 Meters $444 m \leq L \leq 13 m$

question 45

Multiple Choice

A rectangular playing field with a perimeter of 98 meters is to have an area of at least 444 square meters.Within what bounds must the length of the rectangle lie?
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• A) \(444 m \leq L \leq 13 m\)
• B) \(37 m \leq L \leq 98 m\)
• C) \(12 m \leq L \leq 37 m\)
• D) \(39 m \leq L \leq 14 m\)
• E) \(444 m < L < 13 m\)

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Definitions:

Invisible Hand

A metaphor for the self-regulating nature of the marketplace that guides individuals to unintentionally benefit society through the pursuit of their own interests.

Adam Smith

An 18th-century Scottish economist and philosopher best known for his theories on free market economies and the invisible hand concept.

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A seminal book by Adam Smith, regarded as the foundation of modern economic theory, which analyzes the nature and causes of the wealth of nations.

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Trade is the action of buying, selling, or exchanging goods and services between people, companies, or countries.