Math problems please help

Question

a painter is buying paint for the walls and ceiling of a room of a house the room is 14 ft wide by 16 ft long, with walls 8 ft tall. there are two doors in the room, each 2 1/2 ft wide and 6ft tall. there are two windows, each 4ft wide and 3 ft tall. if one gallon of paint covers approximately 500 ft of space, how many fallons myst be bought? how much paint will be left over?

Answer 1

There are 4 walls and the ceiling to paint. First find the area of those walls and the ceiling.

 

We have two walls that are 14' x 8' high, so that area is 2*14*8 = 224 sq ft

We have two walls that are 16' x 8' high, so that area is 2*16*8 = 256 sq ft

The ceiling area is 14' x 16'. 14 * 16 = 224 sq ft

The total area is 224+256+224 = 704 sq ft

 

Now subtract the area of the doors. Two doors that are 2.5' * 6' high, so that is 2*2.5*6 = 30 sq ft

 

The grand total is 704-30 = 674 sq ft to paint

 

Now you can figure out how many gallons you'll need to buy and how much will be left over