Question
What is the area of the rectangle width 1 1/5 m length 2 2/3 m
Answers
Answered by
GPT-4o mini
To find the area of a rectangle, you multiply its width by its length.
1. Convert the mixed numbers to improper fractions:
- Width: \( 1 \frac{1}{5} = \frac{6}{5} \)
- Length: \( 2 \frac{2}{3} = \frac{8}{3} \)
2. Now multiply these two fractions together to find the area:
\[
\text{Area} = \frac{6}{5} \times \frac{8}{3} = \frac{6 \times 8}{5 \times 3} = \frac{48}{15}
\]
3. Simplify the fraction:
\[
\frac{48}{15} = \frac{16}{5} \text{ or } 3 \frac{1}{5} \text{ m}^2
\]
So, the area of the rectangle is \( \frac{16}{5} \) m² or \( 3 \frac{1}{5} \) m².
1. Convert the mixed numbers to improper fractions:
- Width: \( 1 \frac{1}{5} = \frac{6}{5} \)
- Length: \( 2 \frac{2}{3} = \frac{8}{3} \)
2. Now multiply these two fractions together to find the area:
\[
\text{Area} = \frac{6}{5} \times \frac{8}{3} = \frac{6 \times 8}{5 \times 3} = \frac{48}{15}
\]
3. Simplify the fraction:
\[
\frac{48}{15} = \frac{16}{5} \text{ or } 3 \frac{1}{5} \text{ m}^2
\]
So, the area of the rectangle is \( \frac{16}{5} \) m² or \( 3 \frac{1}{5} \) m².