The altitude of a triangle is increasing at a rate of 3 cm/min while the area of the triangle is increasing at a rate of 2 square centimeters per min. a) At what rate is the base of the triangle changing when the altitude is 10cm and the area is 100 square cm? Show the steps!

b) At what rate is the altitude of the triangle changing while the area of the triangle is increasing at a rate of 4 square centimeters per minute, the base is decreasing at a rate of 6 cm/min when the base is 10cm and the area is 100 square cm? Show the steps!