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A farmer planted 435.6 acres (ac) of his land with soybeans. Use the facts to find the area of the land planted with soybeans in square feet [tex]\(\left( \text{ft}^2 \right)\)[/tex].

Conversion facts for area:
1 acre [tex]\(( \text{ac} )=43,560\)[/tex] square feet [tex]\(\left( \text{ft}^2 \right)\)[/tex]
1 square mile [tex]\(\left( \text{mi}^2 \right)=640\)[/tex] acres (\text{ac})
1 hectare (ha) [tex]\(\approx 2.5\)[/tex] acres (\text{ac})

Note that [tex]\(\approx\)[/tex] means "is approximately equal to." For this problem, treat [tex]\(\approx\)[/tex] as if it were [tex]\(=\)[/tex].

Calculate the area of the land in square feet.



Answer :

GinnyAnswer
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]

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