To determine whether Brendan needs more than one gallon of paint, we need to calculate the total area of the wall he wants to paint.
The area of the wall can be calculated using the formula for the area of a rectangle:
\[ \text{Area} = \text{Height} \times \text{Width} \]
In this case:
- Height = 10 feet
- Width = 12 feet
Now, let's calculate the area:
\[ \text{Area} = 10 , \text{feet} \times 12 , \text{feet} = 120 , \text{square feet} \]
Brendan's gallon of paint covers 160 square feet. Next, we compare the area of the wall with the coverage of the paint.
- Area of the wall: 120 square feet
- Coverage of one gallon of paint: 160 square feet
Since 120 square feet (area he needs to paint) is less than 160 square feet (area one gallon covers), Brendan does not need more than one gallon of paint.
Conclusion: Brendan only needs one gallon of paint to cover the wall.
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