A 9-ft long ladder is leaning against the side of a house, forming a right triangle with the ground and the side of the house. The base of the ladder begins to slide away from the house, which causes the top of the ladder to slide down the side of the house.
The top of the ladder is falling at 4 ft/s.
The top of the ladder 6 ft from the ground.
1.How fast is the bottom of the ladder sliding away from the base of the house?
2. What is the change in area for the triangle at this time?