The Length of a Rectangle Is Decreasing at the Rate $\frac { 1 } { 2 } \mathrm { ft } / \mathrm { s }$

question 257

Multiple Choice

The length of a rectangle is decreasing at the rate of 1 foot per second, but the area remains constant. How fast is the rectangle's width increasing when its length is 10 feet and its width is 5 feet?

• A) \(\frac { 1 } { 2 } \mathrm { ft } / \mathrm { s }\)
• B) \(4 \mathrm { ft } / \mathrm { s }\)
• C) \(\frac { 1 } { 10 } \mathrm { tt } / \mathrm { s }\)
• D) \(2 \mathrm { ft } / \mathrm { s }\)
• E) \(5 \mathrm { ft } / \mathrm { s }\)
• F) \(\frac { 1 } { 4 } \mathrm { ft } / \mathrm { s }\)
• G) \(10 \mathrm { ft } / \mathrm { s }\)
• H)\(\frac { 1 } { 5 } \mathrm { tt } / \mathrm { s }\)

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