SOLUTION: A room is 6m long, 4.5m wide and 4m high. The 4 walls and ceilings are to be painted. If the doors and windows have an area of 14m^2, what is the area to be painted? My answer i

Algebra.Com
Question 338961: A room is 6m long, 4.5m wide and 4m high. The 4 walls and ceilings are to be painted. If the doors and windows have an area of 14m^2, what is the area to be painted?
My answer is 111m^2 but I didn't know if its correct.

Found 2 solutions by rfer, jim_thompson5910:
Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
2*6*4+2*4.5*4+6*4.5-14=
48+36+27-14=97 sq m
Don't for get to remove the window and door area.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Area of the ceiling: 6*4.5 = 27 square meters

Area of longer wall: 6*4=24 square meters

There are 2 longer walls. So the total area of the longer walls is 24+24=48 square meters.


Area of shorter wall: 4.5*4 = 18 square meters

Again, there are 2 shorter walls. So the total area of the shorter walls is 2*18=36 square meters.


Add up the individual areas to get: 27+48+36=111


So the total area of the ceilings and the 4 walls is 111 square meters.

Now we need to subtract off 14 square meters (since we're NOT going to paint over the windows or the doors) to get 111-14 = 97


So the total area to be painted is 97 square meters.


You did great. You just needed to do that last step.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website.

Jim

RELATED QUESTIONS

All of the rooms in a building are rectangular, with nine-foot ceilings. One room is 10... (answered by rfer,MathTherapy)
1a.Calculate the total area of the walls of a hospital ward 5m long, 4m wide and 21/2m... (answered by Theo)
Hi a room is in the shape of a rectangular prism. It has 2 windows and a door that have... (answered by MathLover1)
The formula to find the area of the walls of a rectangular room is A=2h (l+b), h is wall... (answered by rfer)
A room measures 18 ft wide, 30 ft long, and 10 ft high is painted. If there are 2 windows (answered by jim_thompson5910)
Find the cost of plastering the walls of a room 18 ft long, 25 ft 6 in. wide, and 12 ft... (answered by Fombitz)
What is the total surface area of the walls of a hospital ward 5m long, 4m wide and 2.5m... (answered by math_tutor2020)
A room is 12 feet long, 8 feet wide and 10 feet high. Find the cost of whitewashing the... (answered by Cromlix)
A contractor is going to paint the room shown above. The paint costs $28.03 a gallon. One (answered by Theo)