To find the area of the table, you multiply its length by its width.
- First, let's convert the mixed numbers to improper fractions.
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The length \( 4 \frac{1}{2} \): \[ 4 \frac{1}{2} = \frac{9}{2} \]
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The width \( 2 \frac{1}{4} \): \[ 2 \frac{1}{4} = \frac{9}{4} \]
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Now, multiply these two fractions together to find the area: \[ \text{Area} = \text{Length} \times \text{Width} = \frac{9}{2} \times \frac{9}{4} \]
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Multiply the numerators and the denominators: \[ \text{Area} = \frac{9 \times 9}{2 \times 4} = \frac{81}{8} \]
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Now, convert \( \frac{81}{8} \) to a mixed number: \[ 81 \div 8 = 10 \text{ remainder } 1 \] So, \[ \frac{81}{8} = 10 \frac{1}{8} \]
Thus, the area of the table is \( \mathbf{10 \frac{1}{8}} \) square feet.
The correct response is:
- 10 1/8 square feet.