Length (L) of rectangle is decreasing at the rate of 2cm/sec while the width (w) is increasing at the rate of 2cm/sec. When L = 12cm and w = 5cm, find the rates of change of:

a. area

b. perimeter

c. length of a diagonal of the rectangle

d. which of these quantities are decreasing, and which are increasing? explain.

show all works and steps (feel free to use paper if its easier to send to me)