Question

What is the area of the rectangle width 1 1/5 m length 2 2/3 m 0/0 square meters

Answer 1

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

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

1. **Width**: \( 1 \frac{1}{5} = \frac{5}{5} + \frac{1}{5} = \frac{6}{5} \) m
2. **Length**: \( 2 \frac{2}{3} = \frac{6}{3} + \frac{2}{3} = \frac{8}{3} \) m

Now, calculate the area \( A \):

\[
A = \text{Width} \times \text{Length} = \frac{6}{5} \times \frac{8}{3}
\]

Multiply the numerators and the denominators:

\[
A = \frac{6 \times 8}{5 \times 3} = \frac{48}{15}
\]

Now, simplify \( \frac{48}{15} \):

\[
\frac{48}{15} = \frac{16}{5} \text{ m}^2 \quad (\text{dividing numerator and denominator by 3})
\]

Now, converting \( \frac{16}{5} \) to a mixed number, we get:

\[
\frac{16}{5} = 3 \frac{1}{5} \text{ m}^2
\]

Therefore, the area of the rectangle is \( \frac{16}{5} \text{ m}^2 \) or approximately \( 3.2 \text{ m}^2 \).