a satellite camera takes a rectangular-shaped picture. the smallest region that can be photographed is a 4km by 6km rectangle. as the camera zooms out, the length 1 and the width w of the rectangle increase at a rate of 3km/second. how long does it take for the area A to be at least 4 times its original size?

Question

a satellite camera takes a rectangular-shaped picture.  the smallest region that can be photographed is a 4km by 6km rectangle.  as the camera zooms out, the length 1 and the width w of the rectangle increase at a rate of 3km/second.  how long does it take for the area A to be at least 4 times its original size?

Possible Answers:A) 3.2 seconds B)1.61 seconds C) 4.94 seconds D) 9.7 seconds

Please help by showing how to put the "word problem" in a formula, so I can understand how you came to the correct answer.