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:

Plant Asset

Long-lived tangible assets used in the production and distribution of goods and services, such as machinery and equipment.

Systematic

Methodical in procedure or plan; carried out using step-by-step methods leading to predictable outcomes.

Service Life

The estimated period over which a fixed asset is expected to be usable by the entity, impacting its depreciation calculation.

Fair Value

The price at which an asset would be bought or sold in a fair transaction between willing parties.