Question

jared wants to paint his room. the dimensions of the room. are 12 by 15 feet and the walls 9 feet. there are two Windows, each with dimensions 6 feet by 5 feet. there are two doors, each with dimensions 30 inches by 6 feet. if a gallon of paint covers about 350 squrae feet. how many gallons of paint will he need to put two coats of paints on the wall

Answer 1

I'm going to say 3 1\2. Let me know when you get the answer.

Answer 2

2.26 gallons of the paint will be required.

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

=
`(30)/(12)` 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 =
`(1)/(350)` gallons

∴ 396 feet² area will be covered by the paint =
`(396)/(350)`

= 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.