AP Calculus
posted by Anonymous .
The sum of the two bases and the altitude of a trapezoid is 16ft. a) Define the area A of the trapezoid as function of its altitude. b) Find the altitude for which the trapezoid has the largest possible are. (Optimization)

a+b+h=16
Area= h(a+b)/2= h(16h)/2
dA/dh=0= ... you do it and solve. 
dA/dh=(2)(1)(1)(h(16h))(0)/4
dA/dh = 2
is this right?