Question

A table has a length of 4 1/2 feet and width of 2 1/4
feet. Find the area of the table in square feet.(1 point)
Responses

6 3/4 square feet

13 1/2 square feet
13 Start Fraction 1 over 2 end fraction square feet

10 1/8
square feet
10 Start Fraction 1 over 8 end fraction square feet

8 1/8
square feet

Answer 1

To find the area of the table, you multiply its length by its width.

1. First, let's convert the mixed numbers to improper fractions.

- The length \( 4 \frac{1}{2} \):
\[
4 \frac{1}{2} = \frac{9}{2}
\]

- The width \( 2 \frac{1}{4} \):
\[
2 \frac{1}{4} = \frac{9}{4}
\]

2. Now, multiply these two fractions together to find the area:
\[
\text{Area} = \text{Length} \times \text{Width} = \frac{9}{2} \times \frac{9}{4}
\]

3. Multiply the numerators and the denominators:
\[
\text{Area} = \frac{9 \times 9}{2 \times 4} = \frac{81}{8}
\]

4. 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**.