Question

Jared wants to paint his room. The dimensions of the room are 12 feet by 15 feet, and the walls are 9 feet tall. 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 square feet, how many gallons of paint will he need to put two coats of paint on the wall? List the steps to solve the problem and solve.

Answer 1

1 ft = 12 in

1 in = (1/12) ft

30 in = (30/12) ft

30 in = 5/6 ft

The area of the surface that Jared needs to paint is:

2(12*9 + 15*9) - 2(5*6 + (5/6)*6) = 416 ft^2

Explanation:

Answer 2

3 gallons of paint

Explanation:

Steps you have to take,

• identifying the area of the 4 walls

• subtracting the windows and doors from the area.
• finding out how many gallons of paint it will take to cover the total area twice

Formula:

`(A = lw)(2) + (A = lw)(2) - (A = lw)(2) - (A = lw)(2)`

`(wall 1)(2) + (wall 3)(2) - (window)(2) - (door)(2)` ↑

door = 30in by 6ft

30in to feet = 2.5 feet

Lets start solving.

`(A = 12(9))2 + (A = 15(9))2 - (A = 6(5))2 - (A =2.5(6))2`

`(A = 108)2 + (A = 135)2 - (A = 30)2 - (A = 15)2`

`(A = 216) + (A = 270) - (A = 60) - (A = 30)`

`combine\\(A = 486) - (A= 90)\\(A = 396)`

two coats = A(2)

396(2) =

792sq ft

We know that one gallon covers 350sq ft

792/350 =

2.26 gallons

(can't have .26 of a gallon so we round up)

it takes 3 gallons of paint Jared's room