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A farmer planted 326.7 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( ft^2 \right)[/tex].

[tex]\square[/tex] [tex]142,086,120 \, ft^2[/tex]

**Conversion facts for area:**

- 1 acre [tex](ac) = 43,560[/tex] square feet [tex]\left( ft^2 \right)[/tex]
- 1 square mile [tex]\left( mi^2 \right) = 640[/tex] acres [tex](ac)[/tex]
- 1 hectare (ha) [tex]\approx 2.5[/tex] acres [tex](ac)[/tex]

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

Answer :

To solve the problem, we start with the conversion fact:

[tex]$$1 \text{ acre} = 43,\!560 \text{ ft}^2.$$[/tex]

The farmer planted an area of [tex]$326.7$[/tex] acres. To convert this area to square feet, we multiply the number of acres by the number of square feet in one acre:

[tex]$$\text{Area in ft}^2 = 326.7 \times 43,\!560.$$[/tex]

Carrying out the multiplication gives:

[tex]$$\text{Area in ft}^2 = 14,\!231,\!052 \text{ ft}^2.$$[/tex]

Thus, the area of the land planted with soy beans is

[tex]$$\boxed{14,\!231,\!052\text{ ft}^2}.$$[/tex]

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