Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Let's solve the problem step-by-step as requested.
### 4.1 The Total Floor Area to be Tiled
First, we need to consider the floor dimensions as given and calculate the areas of each room.
- Bathroom Area:
[tex]\[ \text{Bathroom Area} = 1.5\,m \times 2.5\,m = 3.75\,m^2 \][/tex]
- Toilet Area:
[tex]\[ \text{Toilet Area} = 1.3\,m \times 2.5\,m = 3.25\,m^2 \][/tex]
- Lounge Area:
[tex]\[ \text{Lounge Area} = 2.7\,m \times 5\,m = 13.5\,m^2 \][/tex]
- Bedroom 1 Area:
[tex]\[ \text{Bedroom 1 Area} = 3.5\,m \times 3.7\,m = 12.95\,m^2 \][/tex]
- Bedroom 2 Area:
[tex]\[ \text{Bedroom 2 Area} = 3.5\,m \times 4.6\,m = 16.1\,m^2 \][/tex]
- Bedroom 3 Area:
[tex]\[ \text{Bedroom 3 Area} = 5\,m \times 3.2\,m = 16.0\,m^2 \][/tex]
Next, we have certain areas within the kitchen that should not be tiled:
- Area of Cupboards: 2.7 m²
- Area Covered by Stove: 0.45 m²
The sink's dimensions are given in millimeters for one side, so let's convert this:
- Sink Dimensions:
[tex]\[ \text{Sink Length} = 500\,mm = 0.5\,m \][/tex]
- Sink Area:
[tex]\[ \text{Sink Area} = 0.5\,m \times 1.2\,m = 0.6\,m^2 \][/tex]
The next step is to exclude the areas of the cupboards, stove, and sink from the lounge area:
[tex]\[ \text{Total Floor Area to be Tiled} = \text{Lounge Area} - \text{Cupboards Area} - \text{Stove Area} - \text{Sink Area} \][/tex]
[tex]\[ \text{Total Floor Area to be Tiled} = 13.5\,m^2 - 2.7\,m^2 - 0.45\,m^2 - 0.6\,m^2 = 9.75\,m^2 \][/tex]
Thus, the total floor area to be tiled is [tex]\(9.75\,m^2\)[/tex].
### 4.2 The Number of Tiles Needed
Next, we need to calculate the number of tiles required. Each tile has dimensions [tex]\(30\,cm \times 30\,cm\)[/tex]. Converting these dimensions to meters:
[tex]\[ 30\,cm = 0.3\,m \][/tex]
- Tile Area:
[tex]\[ \text{Tile Area} = 0.3\,m \times 0.3\,m = 0.09\,m^2 \][/tex]
To find the number of tiles:
[tex]\[ \text{Number of Tiles Needed} = \frac{\text{Total Floor Area to be Tiled}}{\text{Tile Area}} \][/tex]
[tex]\[ \text{Number of Tiles Needed} = \frac{9.75\,m^2}{0.09\,m^2} = 108.33 \][/tex]
Since we cannot have a fraction of a tile, we would typically round up to ensure we have enough tiles. Thus, [tex]\(109\)[/tex] tiles will be needed.
### 4.3 Rooms with Doors Facing East
Assuming that from given positions, the room(s) with doors facing east is listed, we get:
- Rooms with Doors Facing East:
- Lounge
So, the name of the room with its door facing east is "Lounge".
### Final Answer Summary:
- 4.1 Total Floor Area to be Tiled: [tex]\(9.75\,m^2\)[/tex]
- 4.2 Number of Tiles Needed: [tex]\(109\)[/tex]
- 4.3 Rooms with Doors Facing East: Lounge
### 4.1 The Total Floor Area to be Tiled
First, we need to consider the floor dimensions as given and calculate the areas of each room.
- Bathroom Area:
[tex]\[ \text{Bathroom Area} = 1.5\,m \times 2.5\,m = 3.75\,m^2 \][/tex]
- Toilet Area:
[tex]\[ \text{Toilet Area} = 1.3\,m \times 2.5\,m = 3.25\,m^2 \][/tex]
- Lounge Area:
[tex]\[ \text{Lounge Area} = 2.7\,m \times 5\,m = 13.5\,m^2 \][/tex]
- Bedroom 1 Area:
[tex]\[ \text{Bedroom 1 Area} = 3.5\,m \times 3.7\,m = 12.95\,m^2 \][/tex]
- Bedroom 2 Area:
[tex]\[ \text{Bedroom 2 Area} = 3.5\,m \times 4.6\,m = 16.1\,m^2 \][/tex]
- Bedroom 3 Area:
[tex]\[ \text{Bedroom 3 Area} = 5\,m \times 3.2\,m = 16.0\,m^2 \][/tex]
Next, we have certain areas within the kitchen that should not be tiled:
- Area of Cupboards: 2.7 m²
- Area Covered by Stove: 0.45 m²
The sink's dimensions are given in millimeters for one side, so let's convert this:
- Sink Dimensions:
[tex]\[ \text{Sink Length} = 500\,mm = 0.5\,m \][/tex]
- Sink Area:
[tex]\[ \text{Sink Area} = 0.5\,m \times 1.2\,m = 0.6\,m^2 \][/tex]
The next step is to exclude the areas of the cupboards, stove, and sink from the lounge area:
[tex]\[ \text{Total Floor Area to be Tiled} = \text{Lounge Area} - \text{Cupboards Area} - \text{Stove Area} - \text{Sink Area} \][/tex]
[tex]\[ \text{Total Floor Area to be Tiled} = 13.5\,m^2 - 2.7\,m^2 - 0.45\,m^2 - 0.6\,m^2 = 9.75\,m^2 \][/tex]
Thus, the total floor area to be tiled is [tex]\(9.75\,m^2\)[/tex].
### 4.2 The Number of Tiles Needed
Next, we need to calculate the number of tiles required. Each tile has dimensions [tex]\(30\,cm \times 30\,cm\)[/tex]. Converting these dimensions to meters:
[tex]\[ 30\,cm = 0.3\,m \][/tex]
- Tile Area:
[tex]\[ \text{Tile Area} = 0.3\,m \times 0.3\,m = 0.09\,m^2 \][/tex]
To find the number of tiles:
[tex]\[ \text{Number of Tiles Needed} = \frac{\text{Total Floor Area to be Tiled}}{\text{Tile Area}} \][/tex]
[tex]\[ \text{Number of Tiles Needed} = \frac{9.75\,m^2}{0.09\,m^2} = 108.33 \][/tex]
Since we cannot have a fraction of a tile, we would typically round up to ensure we have enough tiles. Thus, [tex]\(109\)[/tex] tiles will be needed.
### 4.3 Rooms with Doors Facing East
Assuming that from given positions, the room(s) with doors facing east is listed, we get:
- Rooms with Doors Facing East:
- Lounge
So, the name of the room with its door facing east is "Lounge".
### Final Answer Summary:
- 4.1 Total Floor Area to be Tiled: [tex]\(9.75\,m^2\)[/tex]
- 4.2 Number of Tiles Needed: [tex]\(109\)[/tex]
- 4.3 Rooms with Doors Facing East: Lounge
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.
