The Length of a Rectangle Is Increasing at the Rate $5 \mathrm { ft } ^ { 2 } / \mathrm { s }$

question 62

Multiple Choice

The length of a rectangle is increasing at the rate of 2 feet per second, while the width is increasing at the rate of 1 foot per second. When the length is 5 feet and the width is 3 feet, how fast is the area increasing?

• A) \(5 \mathrm { ft } ^ { 2 } / \mathrm { s }\)
• B) \(11 \mathrm { ft } ^ { 2 } / \mathrm { s }\)
• C) \(6 \mathrm { ft } ^ { 2 } / \mathrm { s }\)
• D) \(10 \mathrm { ft } ^ { 2 } / \mathrm { s }\)
• E) \(15 \mathrm { ft } ^ { 2 } / \mathrm { s }\)
• F) \(20 \mathrm { ft } ^ { 2 } / \mathrm { s }\)
• G) \(8 \mathrm { ft } ^ { 2 } / \mathrm { s }\)
• H) \(12 \mathrm { ft } ^ { 2 } / \mathrm { s }\)

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Definitions:

Delusions

Fixed false beliefs that are resistant to reason or confrontation with actual fact, commonly observed in psychiatric conditions.

Hallucinations

Perceptions that occur without an external stimulus, but which have the compelling sense of reality of true perceptions.

Agoraphobia

Anxiety disorder characterized by fear of places and situations in which it would be difficult to escape, such as enclosed places, open spaces, and crowds.

Paranoia

A mental condition characterized by delusions of persecution, unwarranted jealousy, or exaggerated self-importance, typically worked into an organized system.