A room is 18 ft long, 14 ft wide, and 8 ft high.

a. Find the cost of painting the four walls with two coats of paint costing $9.50 per gallon. Each gallon covers 250 ft2 with one coat.

b. Find the cost of carpeting the floor wiith carpet costing $5/ft2?

c. Find the cost of ceiling with acoustic tile costing $7.50/ft2.

d. Find the total cost of renovating the walls, floor, and ceiling.

A) The answer is $38.95

Two walls have dimensions: 14 ft x 8 ft, each with area A1 = 14 · 8 = 112 ft²

Two walls have dimensions: 18 ft x 8 ft each with area A2 = 18 · 8 = 144 ft²

The area that needs to be painted is:

A = 2A1 + 2A2 = 2*112 + 2*144 = 224 + 288 = 512 ft²

Since you need two coats of paint, total area that needs to be painted is

512 * 2 = 1024 ft²

Now, make a proportion:

If 1 gallon covers 250 ft², how many gallons will cover 1024 ft²

1 : 250 = x : 1024

x = 1024/250 = 4.096 gallons ≈ 4,1 gallons

Since 1 gallon costs $9.50, 4.1 gallons will cost $38.95:

$9.50 * 4.1 gallons = $38.95

b) The answer is $1,260.

The dimensions of the floor are: 18 ft * 14 ft

Therefore, the area that needs to be covered with carpet is:

A = 18 · 14 = 252 ft²

Since 1 ft² costs $5, that means that 252 ft² will cost $1,260:

252 ft² * $5 = $1,260

c) The answer is $1,890.

The ceiling will have the same dimensions and the same area as the floor.

The dimensions of the ceiling are: 18 ft * 14 ft

Therefore, the area that needs to be covered is:

A = 18 · 14 = 252 ft²

Since 1 ft² costs $7.50, that means that 252 ft² will cost $1,890:

252 ft² * $7.5 = $1,890

d) The answer is $3,188.95.

We now know that:

- the cost of painting the four walls with two coats of paint is: $38.95

- the cost of carpeting the floor with carpet is: $1,260

- the cost of ceiling with acoustic tile is: $1,890

All we have to do is to sum it up to find the total cost of renovating the walls, floor, and ceiling:

$38.95 + $1,260 + $1,890 = $3,188.95