1. We are asked to convert the given areas into appropriate units. 2. Recall the unit conversions for area: - $1\,\text{dm}^2 = 100\,\text{cm}^2$ - $1\,\text{m}^2 = 10\,000\,\text{cm}^2$ 3. For the first problem: - Given $18.42\,\text{dm}^2$ - Convert to $\text{cm}^2$ by multiplying by 100: $$18.42 \times 100 = 1842\,\text{cm}^2$$ - The value $184,200$ given is much larger, so likely the unit is $\text{mm}^2$ because: - $1\,\text{dm}^2 = 10,000\,\text{mm}^2$ - So $18.42\,\text{dm}^2 = 18.42 \times 10,000 = 184,200\,\text{mm}^2$ 4. For the second problem: - Given $874\,\text{cm}^2$ - Convert to $\text{m}^2$ by dividing by 10,000: $$874 \div 10,000 = 0.0874\,\text{m}^2$$ - The value $0.000874$ is smaller, so likely the unit is $\text{m}^2$ but with a decimal shift: - Actually, $0.000874\,\text{m}^2 = 8.74\,\text{cm}^2$, so to get $0.000874$ from $874\,\text{cm}^2$, the unit must be $\text{m}^2$ but with a decimal error. - Correct conversion: $$874\,\text{cm}^2 = 0.0874\,\text{m}^2$$ 5. Therefore, the correct units to fill in are: - $184,200\,\text{mm}^2$ - $0.000874\,\text{m}^2$ (assuming the problem wants this exact value, it corresponds to $8.74\,\text{cm}^2$ which is not equal to $874\,\text{cm}^2$, so likely a typo or intended to be $0.0874$) Final answers: - $18.42\,\text{dm}^2 = 184,200\,\text{mm}^2$ - $874\,\text{cm}^2 = 0.0874\,\text{m}^2$