Show all work using implicit differentiation for related rates:
A 13-foot ladder is leaning against a house when its base starts to slide away. By the time the base is 12 feet from the house, the base of the ladder is moving at the rate of 5 ft/sec.
At what rate is the area of the triangle formed by the ladder, wall, and ground changing at that time? Use A=1/2(b)(h)