To find the area of the land planted with soy beans in square feet, we will use the given conversion fact that 1 acre equals 43,560 square feet.
Here are the detailed steps:
1. Identify the area given in acres:
The area planted with soy beans is given as 435.6 acres.
2. Use the conversion factor:
We know from the conversion facts that:
[tex]\[
1 \text{ acre} = 43,560 \text{ square feet}
\][/tex]
3. Calculate the area in square feet:
To convert the area from acres to square feet, we multiply the number of acres by the conversion factor.
[tex]\[
\text{Area in square feet} = \text{Area in acres} \times \text{Conversion factor}
\][/tex]
Given:
[tex]\[
\text{Area in acres} = 435.6 \text{ acres}
\][/tex]
[tex]\[
\text{Conversion factor} = 43,560 \text{ square feet per acre}
\][/tex]
Substituting the values, we get:
[tex]\[
\text{Area in square feet} = 435.6 \text{ acres} \times 43,560 \text{ square feet per acre}
\][/tex]
4. Compute the final result:
Performing the multiplication:
[tex]\[
\text{Area in square feet} = 435.6 \times 43,560 = 18,974,736
\][/tex]
Therefore, the area of the land planted with soy beans is:
[tex]\[
18,974,736 \text{ square feet}
\][/tex]
