The length x of a rectangle is increasing at the rate of 5 cm/minute and the width y is increasing at the rate of 5 cm/minute. When x =2 cm and y = 2 cm, find the ratio of rates of change of perimeter to that of the area with respect to time.

1:1 2:5 5:2 2:3

1:1

dA/dt = x(dy/dt)+y(dx/dt) dP/dt = 2(dx/dt +dy/dt)