A picture that measures 24 by 16 inches is surrounded by a mat of equal width. The area of the entire picture and mat is 560 square inches. What is the width of the mat?

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