Answer:
2.26 gallons of the paint will be required.
Step-by-step explanation:
Jared wants to paint his room with dimensions 12 feet × 15 feet × 9 feet.
There are two windows of dimensions (6 feet × 5 feet) and two doors with dimensions (30 inches × 6 feet)
To paint this room we have to exclude the area of windows and doors from the area of walls of the room.
Area of walls = 2(Length + width)Height
= 2(12 + 15)9 = 2×27×9
= 18×27
= 486 feet²
Area of the windows = 2(6×5)
= 60 feet²
Dimensions of doors = 30 inches by 6 feet
= [tex]\frac{30}{12}[/tex] feet by 6 feet
= 2.5 feet by 6 feet
Area of the doors = 2(2.5 × 6)
= 30 feet²
Now area of the walls excluding windows and doors = 486 - (60 + 30)
= 486 - 90
= 396 feet²
∵ 350 square feet area is covered by paint = 1 gallon
∴ 1 square feet area will be covered by paint = [tex]\frac{1}{350}[/tex] gallons
∴ 396 feet² area will be covered by the paint = [tex]\frac{396}{350}[/tex]
= 1.131 gallons
This volume of paint is sufficient for one coat so paint required for two coats = 1.131×2 = 2.26 gallons
Therefore, 2.26 gallons of paint will be required.
