A Ladder Feet Long Is Leaning Against the Wall of a House

Multiple Choice

A ladder feet long is leaning against the wall of a house (see figure) . The base of the ladder is pulled away from the wall at a rate of feet per second. Consider the triangle formed by The side of the house, the ladder, and the ground. Find the rate at which the area of the triangle is Changed when the base of the ladder is feet from the wall. Round your answer to two decimal Places.

A) $16.67 \mathrm { ft } ^ { 2 } / \mathrm { sec }$
B) $119.10 \mathrm { ft } ^ { 2 } / \mathrm { sec }$
C) $66.34 \mathrm { ft } ^ { 2 } / \mathrm { sec }$
D) $20.06 \mathrm { ft } ^ { 2 } / \mathrm { sec }$
E) $40.13 \mathrm { ft } ^ { 2 } / \mathrm { sec }$