$\text { The length of a rectangle is } 5 t + 5 \text { and its height is } t ^ { 4 } \text {, where } t \text { is time in seconds and }$

question 79

Multiple Choice

$\text { The length of a rectangle is } 5 t + 5 \text { and its height is } t ^ { 4 } \text {, where } t \text { is time in seconds and }$ the dimensions are in inches. Find the rate of change of area, A, with respect to time.

• A) \(\frac { d A } { d t } = t ^ { 4 } ( 20 + 25 t )\) square inches/second
• B) \(\frac { d A } { d t } = t ^ { 4 } ( 15 + 25 t )\) square inches/second
• C) \(\frac { d A } { d t } = t ^ { 3 } ( 20 + 20 t )\) square inches/second
• D) \(\frac { d A } { d t } = t ^ { 3 } ( 20 + 25 t )\) square inches/second
• E) \(\frac { d A } { d t } = t ^ { 3 } ( 25 t + 5 )\) square inches/second

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