Answer :
To find the area of a rectangle, you multiply its length by its width. In this case, the rectangle's dimensions are given as fractions of a meter:
1. Length: [tex]\(\frac{4}{5}\)[/tex] of a meter.
2. Width: [tex]\(\frac{2}{3}\)[/tex] of a meter.
Now, to calculate the area, perform the following multiplication:
[tex]\[
\text{Area} = \frac{4}{5} \times \frac{2}{3}
\][/tex]
3. To multiply these fractions, multiply the numerators (top numbers) together and the denominators (bottom numbers) together:
- Numerator: [tex]\(4 \times 2 = 8\)[/tex]
- Denominator: [tex]\(5 \times 3 = 15\)[/tex]
So, the area in fractional form is:
[tex]\[
\frac{8}{15}
\][/tex]
When converting this fraction to a decimal, it equals approximately [tex]\(0.533\overline{3}\)[/tex], or [tex]\(0.5333333...\)[/tex].
Thus, the area of the rectangle is approximately [tex]\(0.533\)[/tex] square meters, or [tex]\(\frac{8}{15}\)[/tex] square meters in fractional form.
1. Length: [tex]\(\frac{4}{5}\)[/tex] of a meter.
2. Width: [tex]\(\frac{2}{3}\)[/tex] of a meter.
Now, to calculate the area, perform the following multiplication:
[tex]\[
\text{Area} = \frac{4}{5} \times \frac{2}{3}
\][/tex]
3. To multiply these fractions, multiply the numerators (top numbers) together and the denominators (bottom numbers) together:
- Numerator: [tex]\(4 \times 2 = 8\)[/tex]
- Denominator: [tex]\(5 \times 3 = 15\)[/tex]
So, the area in fractional form is:
[tex]\[
\frac{8}{15}
\][/tex]
When converting this fraction to a decimal, it equals approximately [tex]\(0.533\overline{3}\)[/tex], or [tex]\(0.5333333...\)[/tex].
Thus, the area of the rectangle is approximately [tex]\(0.533\)[/tex] square meters, or [tex]\(\frac{8}{15}\)[/tex] square meters in fractional form.
