Molding Is Typically Long, Thin, Decorative Pieces of Wood Used

Multiple Choice

Molding is typically long, thin, decorative pieces of wood used, for instance, around windows or doors. The cross-section of a particular type of molding can be described as the region bounded by , x = 4, x = 0, and (all measured in inches) , projected perpendicular to the xy-plane (see figure) . If the manufacturer paints all four sides (but not the ends) and each gallon of paint covers 250 ft², how many linear feet of molding can be coated with one gallon?

A) 315.8 feet
B) 264.2 feet
C) 512.4 feet
D) 128.1 feet