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

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