SOLUTION: A room is 12 ft by 20 ft. It needs to be painted. The ceiling is 8 ft above the floor. There are two windows in the room, each one is 3 ft by 4 ft. The door is 2.5 ft by 6.5 ft.
Algebra ->
Customizable Word Problem Solvers
-> Geometry
-> SOLUTION: A room is 12 ft by 20 ft. It needs to be painted. The ceiling is 8 ft above the floor. There are two windows in the room, each one is 3 ft by 4 ft. The door is 2.5 ft by 6.5 ft.
Log On
Question 939604: A room is 12 ft by 20 ft. It needs to be painted. The ceiling is 8 ft above the floor. There are two windows in the room, each one is 3 ft by 4 ft. The door is 2.5 ft by 6.5 ft.
a.) find the area of the walls and ceiling to be painted
b. ) one gallon of paint covers 70.87 sq ft. How many gallons are needed to paint the room?
c.) at $22.47 a gallon, what is the cost to paint the room? Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! Area of Walls:
2(12 ft x 8 ft)+2(20 ft x 8 ft)=A(walls)
2(96 ft^2)+ 2(160 ft^2)=A(walls)
192 ft^2+320 ft^2=A(walls)
512 ft^2=A(walls)
Area of ceiling:
12 ft x 20 ft=240 ft^2=A(ceiling)
Total Area: Answer A
A(walls)+ A(ceiling)=A(total)
512 ft^2+240 ft^2=752 ft^2
Number of Gallons: Answer B
coverage=70.87 ft^2 /gallon
752 ft^2/70.87 ft^/gal=gallons needed
10.61 gal=gallons needed
Cost of Paint: Answer C
You would need to buy 11 gallons at $22.47/gallon to have sufficient paint
cost=11 gallons x $22.47/gallon
=$247.17