Asatellite camera takes a rectangle-shaped picture. the smallest region that can be photographed is a 22-km by 66-km rectangle. as the camera zooms out, the length l and width w of the rectangle increase at a rate of 33 km/sec. how long does it take for the area a to be at least 5 times its original size?

Find what that area is
22*66=1452

5 times of that is
1452*5=7260

s=seconds

(22+33s)(66+33s)=7260
1089s^2+2904s+1452=7260
minus 7260 from both sides
1089s^2+2904s-5808=0
factor or use quadratic formula
(363)(x+4)(3x-4)=0
set each to zero
x+4=0
x=-4, false, it is increasing, not decreasing

3x-4=0
3x=4
x=4/3

answer is 4/3 seconds