Answer :
We start by converting both measurements to meters.
Step 1. Convert decimeters to meters:
Since [tex]\(1\,\text{dm} = 0.1\,\text{m}\)[/tex], then
[tex]\[
5.9\,\text{dm} = 5.9 \times 0.1\,\text{m} = 0.59\,\text{m}.
\][/tex]
Step 2. Convert centimeters to meters:
Since [tex]\(1\,\text{cm} = 0.01\,\text{m}\)[/tex], then
[tex]\[
35.8\,\text{cm} = 35.8 \times 0.01\,\text{m} = 0.358\,\text{m}.
\][/tex]
Step 3. Multiply the converted lengths:
To find the area in square meters, multiply the two converted values (note that [tex]\( \text{m} \times \text{m} = \text{m}^2 \)[/tex]):
[tex]\[
\text{Area} = 0.59\,\text{m} \times 0.358\,\text{m} = 0.21122\,\text{m}^2.
\][/tex]
Thus, the final answer is
[tex]\[
\boxed{0.21122\,\text{m}^2}.
\][/tex]
Step 1. Convert decimeters to meters:
Since [tex]\(1\,\text{dm} = 0.1\,\text{m}\)[/tex], then
[tex]\[
5.9\,\text{dm} = 5.9 \times 0.1\,\text{m} = 0.59\,\text{m}.
\][/tex]
Step 2. Convert centimeters to meters:
Since [tex]\(1\,\text{cm} = 0.01\,\text{m}\)[/tex], then
[tex]\[
35.8\,\text{cm} = 35.8 \times 0.01\,\text{m} = 0.358\,\text{m}.
\][/tex]
Step 3. Multiply the converted lengths:
To find the area in square meters, multiply the two converted values (note that [tex]\( \text{m} \times \text{m} = \text{m}^2 \)[/tex]):
[tex]\[
\text{Area} = 0.59\,\text{m} \times 0.358\,\text{m} = 0.21122\,\text{m}^2.
\][/tex]
Thus, the final answer is
[tex]\[
\boxed{0.21122\,\text{m}^2}.
\][/tex]
