Question

You want to repaint and replace the carpet in your bedroom. The dimensions are as follows: 6.3 meters by 4.4 meters and the height is 3.2 meters. There is a window in the bedroom and the dimensions are 75 cm by 50 cm. There is also a door that you will need to paint in a different color. The 4 walls will be blue. The door and the ceiling will be white. The dimensions of the door are 213 cm by 82 cm.

1. To begin with, you will draw a plan of the room including all dimensions of the walls, ceiling, floor, door and window.
2. Calculate the area of ​​the surface: • of the 4 walls of the ceiling • of the floor • of the door • of the window (you must show all your calculations)
3. Calculate the cost of white paint, blue paint and carpet. (you must show all your calculations) Carpet: $ 32 / m? Blue paint: $ 28 a gallon (a gallon can cover 80m?) • White paint: $ 26 a gallon
4. What will be the total cost to renovate the room?

Answer 1

To calculate the total area for renovation, we need to find the area of the walls, ceiling, floor, door, and window, and then calculate the amount of blue and white paint as well as carpet needed based on these areas. We then multiply the required quantities by their respective costs to find the total cost of the renovation. Detailed calculations include converting cm to meters and using given prices per unit.

Step-by-step explanation:

To calculate the total surface area for painting and carpeting, we will first calculate the areas of the walls, ceiling, floor, door, and window. We'll also factor in the cost of materials based on their respective areas.

• Walls: The combined area of the four walls is (2*(6.3 + 4.4) meters * 3.2 meters) - (75 cm * 50 cm + 213 cm * 82 cm converted to meters squared), which is 2*(6.3+4.4)*3.2 - 0.75*0.5 - 2.13*0.82 square meters.
• Ceiling: The area of the ceiling is 6.3 meters * 4.4 meters.
• Floor: The area of the floor is the same as that of the ceiling, 6.3 meters * 4.4 meters.
• Door: The area of the door is 2.13 meters * 0.82 meters.
• Window: The area of the window is 0.75 meters * 0.5 meters.

Next, we calculate the amount of paint needed. Considering a gallon covers 80 square meters:

• Blue paint needed for walls: Total wall area (calculated above) divided by 80.
• White paint needed for ceiling and door: Sum of ceiling and door area divided by 80.

Finally, the cost of each material can be calculated by multiplying the necessary quantities by the respective price per unit, and the total cost is the sum of all individual costs.

Remember to convert cm to meters for calculations involving m^2. Also, please note that the calculations do not account for overage or waste, which might be considered in an actual scenario.