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Answer :
To find out how many square feet the Brown family has for other purposes, follow these steps:
1. Start with the Total Acres: The Brown family bought 9.25 acres of land.
2. Calculate the Acres for Farming:
- The family will use 21% of the total acreage for farming.
- Convert 21% to a decimal: [tex]\(0.21\)[/tex].
- Multiply the total acres by 0.21:
[tex]\[ 9.25 \times 0.21 = 1.9425 \text{ acres} \][/tex]
3. Calculate the Acres for the Pond and Nature Area:
- The pond and nature area will cover [tex]\(\frac{3}{20}\)[/tex] of the total acreage.
- Convert [tex]\(\frac{3}{20}\)[/tex] to a decimal: [tex]\(0.15\)[/tex].
- Multiply the total acres by 0.15:
[tex]\[ 9.25 \times 0.15 = 1.3875 \text{ acres} \][/tex]
4. Calculate the Remaining Acres for Other Purposes:
- Subtract the acres used for farming and the pond from the total to find the remaining acres:
[tex]\[ 9.25 - (1.9425 + 1.3875) = 5.92 \text{ acres} \][/tex]
5. Convert the Remaining Acres to Square Feet:
- 1 acre is equivalent to 43,560 square feet.
- Multiply the remaining acres by 43,560 to convert them into square feet:
[tex]\[ 5.92 \times 43,560 = 257,875.2 \text{ square feet} \][/tex]
Thus, the Brown family has approximately 257,875 square feet for other purposes. The correct choice is D: 257,875 square feet.
1. Start with the Total Acres: The Brown family bought 9.25 acres of land.
2. Calculate the Acres for Farming:
- The family will use 21% of the total acreage for farming.
- Convert 21% to a decimal: [tex]\(0.21\)[/tex].
- Multiply the total acres by 0.21:
[tex]\[ 9.25 \times 0.21 = 1.9425 \text{ acres} \][/tex]
3. Calculate the Acres for the Pond and Nature Area:
- The pond and nature area will cover [tex]\(\frac{3}{20}\)[/tex] of the total acreage.
- Convert [tex]\(\frac{3}{20}\)[/tex] to a decimal: [tex]\(0.15\)[/tex].
- Multiply the total acres by 0.15:
[tex]\[ 9.25 \times 0.15 = 1.3875 \text{ acres} \][/tex]
4. Calculate the Remaining Acres for Other Purposes:
- Subtract the acres used for farming and the pond from the total to find the remaining acres:
[tex]\[ 9.25 - (1.9425 + 1.3875) = 5.92 \text{ acres} \][/tex]
5. Convert the Remaining Acres to Square Feet:
- 1 acre is equivalent to 43,560 square feet.
- Multiply the remaining acres by 43,560 to convert them into square feet:
[tex]\[ 5.92 \times 43,560 = 257,875.2 \text{ square feet} \][/tex]
Thus, the Brown family has approximately 257,875 square feet for other purposes. The correct choice is D: 257,875 square feet.
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