The base of a triangle is decreasing at the rate of 2 cm/ min and the height is increasing at the rate of

Question

1cm/ min. Find the rate at which the area is changing when the base is 8 cm and the height is 6 cm.
Is the area increasing or decreasing at that moment?

Answer 1

a = 1/2 bh
da/dt = 1/2 (h db/dt + b dh/dt)

Now just plug in your numbers.