A 13-ft ladder is leaning against a house. The base of the ladder starts to slide away from the house. By the time the base is 12 ft from the house, the base is moving at a rate of 5 ft/sec. Suppose you wanted to know the rate at which the area of the triangle formed by the ladder, wall, and ground was changing. The formula for the area of the triangle is A = xy. Use implicit differentiation to find the equation that dA dt dx dy at relates the values of x, y, , and 4. Show your calculations in the text box provided. 田 For the frozen moment when the ladder is 12 ft away and the base is moving at a rate of 5 ft/sec, at what rate is the area of the triangle changing? Show your calculations in the text box provided.

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