To find the area of the table in square feet, you can use the formula for the area of a rectangle, which is:
\[ \text{Area} = \text{Length} \times \text{Width} \]
First, let's convert the mixed numbers into improper fractions:
- Length: \(4 \frac{1}{2} = \frac{9}{2}\) (since \(4 \times 2 + 1 = 9\))
- Width: \(2 \frac{1}{4} = \frac{9}{4}\) (since \(2 \times 4 + 1 = 9\))
Now, calculate the area:
\[ \text{Area} = \frac{9}{2} \times \frac{9}{4} \]
Multiply the fractions:
\[ \text{Area} = \frac{9 \times 9}{2 \times 4} = \frac{81}{8} \]
Now, convert \(\frac{81}{8}\) into a mixed number:
\[ 81 \div 8 = 10 \quad \text{(with a remainder of 1)} \]
So, \(\frac{81}{8} = 10 \frac{1}{8}\).
Thus, the area of the table is:
\[ \text{Area} = 10 \frac{1}{8} \text{ square feet} \]
The correct response is:
10 1/8 square feet.