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Answer :
Sure, let's go through the process step-by-step!
### English System
1. Convert dimensions from feet and inches to total inches:
- Width: The patio is 13 feet 6 inches wide.
- First, convert the feet into inches: [tex]\(13 \times 12 = 156\)[/tex] inches.
- Add the remaining 6 inches: [tex]\(156 + 6 = 162\)[/tex] inches for the total width.
- Length: The patio is 18 feet 9 inches long.
- First, convert the feet into inches: [tex]\(18 \times 12 = 216\)[/tex] inches.
- Add the remaining 9 inches: [tex]\(216 + 9 = 225\)[/tex] inches for the total length.
2. Calculate the area of the patio in square inches:
- Multiply the total width by the total length: [tex]\(162 \times 225 = 36,450\)[/tex] square inches for the total area of the patio.
3. Determine the dimensions of one brick:
- A brick is 3.75 inches wide and 8 inches long.
4. Calculate the area of one brick in square inches:
- Multiply the brick’s width and length: [tex]\(3.75 \times 8 = 30\)[/tex] square inches for each brick.
5. Determine the number of bricks required:
- Divide the total patio area by the area of one brick: [tex]\(\text{Number of bricks} = \lceil \frac{36,450}{30} \rceil = 1,215\)[/tex].
- You would need 1,215 bricks to cover the patio.
### Metric System
1. Convert dimensions from meters to centimeters:
- Width: The patio is 4 meters wide.
- Convert meters to centimeters: [tex]\(4 \times 100 = 400\)[/tex] cm.
- Length: The patio is 5 meters long.
- Convert meters to centimeters: [tex]\(5 \times 100 = 500\)[/tex] cm.
2. Calculate the area of the patio in square centimeters:
- Multiply the total width by the total length: [tex]\(400 \times 500 = 200,000\)[/tex] square cm for the patio area.
3. Determine the dimensions of one brick:
- A brick is 9.5 cm wide and 20 cm long.
4. Calculate the area of one brick in square centimeters:
- Multiply the brick’s width by its length: [tex]\(9.5 \times 20 = 190\)[/tex] square cm for each brick.
5. Calculate the number of bricks required:
- Divide the total patio area by the area of one brick: [tex]\(\text{Number of bricks} = \lceil \frac{200,000}{190} \rceil = 1,053\)[/tex].
- You would need 1,053 bricks to cover the patio.
These calculations show how many bricks you would need for each system to cover the patio completely.
### English System
1. Convert dimensions from feet and inches to total inches:
- Width: The patio is 13 feet 6 inches wide.
- First, convert the feet into inches: [tex]\(13 \times 12 = 156\)[/tex] inches.
- Add the remaining 6 inches: [tex]\(156 + 6 = 162\)[/tex] inches for the total width.
- Length: The patio is 18 feet 9 inches long.
- First, convert the feet into inches: [tex]\(18 \times 12 = 216\)[/tex] inches.
- Add the remaining 9 inches: [tex]\(216 + 9 = 225\)[/tex] inches for the total length.
2. Calculate the area of the patio in square inches:
- Multiply the total width by the total length: [tex]\(162 \times 225 = 36,450\)[/tex] square inches for the total area of the patio.
3. Determine the dimensions of one brick:
- A brick is 3.75 inches wide and 8 inches long.
4. Calculate the area of one brick in square inches:
- Multiply the brick’s width and length: [tex]\(3.75 \times 8 = 30\)[/tex] square inches for each brick.
5. Determine the number of bricks required:
- Divide the total patio area by the area of one brick: [tex]\(\text{Number of bricks} = \lceil \frac{36,450}{30} \rceil = 1,215\)[/tex].
- You would need 1,215 bricks to cover the patio.
### Metric System
1. Convert dimensions from meters to centimeters:
- Width: The patio is 4 meters wide.
- Convert meters to centimeters: [tex]\(4 \times 100 = 400\)[/tex] cm.
- Length: The patio is 5 meters long.
- Convert meters to centimeters: [tex]\(5 \times 100 = 500\)[/tex] cm.
2. Calculate the area of the patio in square centimeters:
- Multiply the total width by the total length: [tex]\(400 \times 500 = 200,000\)[/tex] square cm for the patio area.
3. Determine the dimensions of one brick:
- A brick is 9.5 cm wide and 20 cm long.
4. Calculate the area of one brick in square centimeters:
- Multiply the brick’s width by its length: [tex]\(9.5 \times 20 = 190\)[/tex] square cm for each brick.
5. Calculate the number of bricks required:
- Divide the total patio area by the area of one brick: [tex]\(\text{Number of bricks} = \lceil \frac{200,000}{190} \rceil = 1,053\)[/tex].
- You would need 1,053 bricks to cover the patio.
These calculations show how many bricks you would need for each system to cover the patio completely.
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