Answer:
2.1375 bottles of paint
Step-by-step explanation:
cardboard length = 14 1/4 ft, which is equivalent to (4*14 + 1)/4 = 57/4 ft
cardboard width = 6 ft
Rectangular cardboard area = length * width = 57/4 * 6 = (57*6)/4 = 342/4 ft², which can be simplified dividing numerator and denominator by 2: 171/2 ft²
If 1 bottle of paint covers an area of 40 square feet, then to paint 171/2 square feet the following proportion must be satisfied:
1 bottle of paint / 40 square feet = x bottles of paint / (171/2) square feet
x = (1/40) * (171/2) = (1*171)/(40*2) = 171/80 or (160 + 11)/80 = 160/80 + 11/80 = 2 11/80 or 2.1375 bottles of paint