Stephanie is painting the walls and ceiling of a rectangular bedroom that is 3 m by 4.5 m. The walls are 2.5 m high.There is a window measuring 1 m by 0.8 m on one wall and a door that is 1 m by 2.3 m in another wall.How many square meters does Stephanie have to paint in all? (Write final answer with one decimal place.)
Question
Stephanie is painting the walls and ceiling of a rectangular bedroom that is 3 m by 4.5 m. The walls are 2.5 m high.There is a window measuring 1 m by 0.8 m on one wall and a door that is 1 m by 2.3 m in another wall.How many square meters does Stephanie have to paint in all? (Write final answer with one decimal place.)
Solution
To calculate the total area Stephanie needs to paint, we first need to calculate the area of the walls and ceiling, then subtract the areas of the door and window.
Step 1: Calculate the area of the walls. The bedroom has 4 walls. Two of them are 3 m wide and 2.5 m high, and the other two are 4.5 m wide and 2.5 m high. So, the total area of the walls is: 2*(32.5) + 2(4.5*2.5) = 15 + 22.5 = 37.5 square meters.
Step 2: Calculate the area of the ceiling. The ceiling is a rectangle that is 3 m by 4.5 m, so its area is: 3*4.5 = 13.5 square meters.
Step 3: Calculate the area of the door and the window. The door is 1 m by 2.3 m, so its area is: 12.3 = 2.3 square meters. The window is 1 m by 0.8 m, so its area is: 10.8 = 0.8 square meters.
Step 4: Subtract the area of the door and the window from the total area of the walls and ceiling. The total area Stephanie needs to paint is: 37.5 (walls) + 13.5 (ceiling) - 2.3 (door) - 0.8 (window) = 47.9 square meters.
So, Stephanie has to paint 47.9 square meters in all.
Similar Questions
Laurence is painting the walls and ceiling of a rectangular bedroom that is 3 m by 4.5 m. The walls are 2.5 m high.There is a window measuring 1 m by 0.8 m on one wall and a door that is 1 m by 2.3 m in another wall.If a can of paint covers 20 m2 and costs $38.95, what will it cost Laurence for paint for this bedroom?
Becky wants to paint the walls in her bedroom. A gallon of paint will cover 300ft2. She measures the surface to be painted; it's 73,440in2. How many gallons of paint should she buy?
A rectangular room is 9m long, 3m high and 3.5m wide. The cost of painting the room is $14 per square metre. What is the cost of giving the entire room a coat of paint if I get a 10% discount? (Paint does not include ceiling and floor)A$1050B$1323C$945D$525ENone of the above
Naomi's bedroom is rectangular. The length of one wall of Naomi's bedroom is 4 metres. The length from one corner of the bedroom to the diagonally opposite corner is 6 metres. What is the length of the other wall? If necessary, round to the nearest tenth.
The internal measures of a cuboidal room are 10 m X 5m X 4m. Find the cost of painting thefour walls of a room, if the cost of painting is Rs. 40 per m2. If the ceiling of the room is also to bepainted, what will be the total cost?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.