Question
The width of a rectangle is 3/5 of a foot and the length is 8 feet. What is the area?
Responses
4 and 4/5 ft2
4 and 4/5 ft2
8 and 3/5 ft2
8 and 3/5 ft2
3/40 ft2
3/40 ft2
7 and 2/5 ft2
Responses
4 and 4/5 ft2
4 and 4/5 ft2
8 and 3/5 ft2
8 and 3/5 ft2
3/40 ft2
3/40 ft2
7 and 2/5 ft2
Answers
GPT-4o mini
To find the area of a rectangle, you can use the formula:
\[
\text{Area} = \text{length} \times \text{width}
\]
In this case, the width is \( \frac{3}{5} \) of a foot, and the length is \( 8 \) feet. Substituting these values into the formula gives:
\[
\text{Area} = 8 \, \text{ft} \times \frac{3}{5} \, \text{ft}
\]
Calculating this:
\[
\text{Area} = 8 \times \frac{3}{5} = \frac{24}{5} \, \text{ft}^2
\]
To convert \( \frac{24}{5} \) to a mixed number:
\[
\frac{24}{5} = 4 \text{ (whole number) } \text{ and } 4 \text{ remainder } 4 = 4 \, \frac{4}{5}
\]
Thus, the area of the rectangle is \( 4 \, \frac{4}{5} \, \text{ft}^2 \).
The correct response is:
**4 and 4/5 ft²**
\[
\text{Area} = \text{length} \times \text{width}
\]
In this case, the width is \( \frac{3}{5} \) of a foot, and the length is \( 8 \) feet. Substituting these values into the formula gives:
\[
\text{Area} = 8 \, \text{ft} \times \frac{3}{5} \, \text{ft}
\]
Calculating this:
\[
\text{Area} = 8 \times \frac{3}{5} = \frac{24}{5} \, \text{ft}^2
\]
To convert \( \frac{24}{5} \) to a mixed number:
\[
\frac{24}{5} = 4 \text{ (whole number) } \text{ and } 4 \text{ remainder } 4 = 4 \, \frac{4}{5}
\]
Thus, the area of the rectangle is \( 4 \, \frac{4}{5} \, \text{ft}^2 \).
The correct response is:
**4 and 4/5 ft²**