Questions: A farmer planted 124 acres (ac) of his land with soy beans.
Use the facts to find the area of the land planted with soy beans in hectares (ha).
square ha
Conversion facts for area
1 acre (ac) = 43,560 square feet (ft^2)
1 square mile (mi^2) = 640 acres (ac)
1 hectare (ha) is approximately equal to 2.5 acres (ac)
Note that "is approximately equal to" means "is approximately equal to".
For this problem, treat "is approximately equal to" as if it were "=".
Transcript text: A farmer planted 124 acres (ac) of his land with soy beans.
Use the facts to find the area of the land planted with soy beans in hectares (ha).
$\square$ ha
\begin{tabular}{|c|}
\hline Conversion facts for area \\
\hline 1 acre $(\mathrm{ac})=43,560$ square feet $\left(\mathrm{ft}^{2}\right)$ \\
\hline 1 square mile $\left(\mathrm{mi}^{2}\right)=640$ acres $(\mathrm{ac})$ \\
\hline 1 hectare $(\mathrm{ha}) \approx 2.5$ acres $(\mathrm{ac})$ \\
\hline
\end{tabular}
Note that $\approx$ means "is approximately equal to".
For this problem, treat $\approx$ as if it were $=$.
Solution
Solution Steps
Step 1: Understand the Problem
We need to convert the area of land planted with soybeans from acres to hectares. We are given that the farmer planted 124 acres of land with soybeans.
Step 2: Use the Conversion Factor
We are provided with the conversion factor:
\[ 1 \text{ hectare (ha)} = 2.5 \text{ acres (ac)} \]
Step 3: Perform the Conversion
To find the area in hectares, we divide the number of acres by the conversion factor:
\[
\text{Area in hectares} = \frac{124 \text{ acres}}{2.5 \text{ acres/ha}}
\]
Calculating this gives:
\[
\text{Area in hectares} = 49.6 \text{ ha}
\]
Final Answer
The area of the land planted with soybeans in hectares is \(\boxed{49.6 \text{ ha}}\).