Each side of a square is increasing at a rate of 5 cm/s. at what rate is the area of the square increasing when the area of the square is 25 cm2?

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters