To determine how much area Tiffany needs to paint, we'll first calculate the area of the four walls and the ceiling of the room.
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Calculate the area of the four walls:
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The room has two pairs of walls:
- Two walls measuring 12 feet (length) x 8 feet (height)
- Two walls measuring 10 feet (width) x 8 feet (height)
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Area of the two 12-foot walls: \[ 2 \times (12 , \text{feet} \times 8 , \text{feet}) = 2 \times 96 , \text{square feet} = 192 , \text{square feet} \]
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Area of the two 10-foot walls: \[ 2 \times (10 , \text{feet} \times 8 , \text{feet}) = 2 \times 80 , \text{square feet} = 160 , \text{square feet} \]
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Total area of the walls: \[ 192 , \text{square feet} + 160 , \text{square feet} = 352 , \text{square feet} \]
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Calculate the area of the ceiling:
- The ceiling measures 12 feet x 10 feet: \[ 12 , \text{feet} \times 10 , \text{feet} = 120 , \text{square feet} \]
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Total area to be painted:
- Total area (walls + ceiling): \[ 352 , \text{square feet} + 120 , \text{square feet} = 472 , \text{square feet} \]
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Determine the number of gallons of paint needed:
- Each gallon of paint covers 350 square feet.
- To find the number of gallons required: \[ \frac{472 , \text{square feet}}{350 , \text{square feet per gallon}} \approx 1.34857 \]
- Since Tiffany cannot purchase a partial gallon, she will need to round up to the next whole number:
- Therefore, she needs to buy 2 gallons of paint.
Final Answer: Tiffany needs to paint 472 square feet and should buy 2 gallons of paint.
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