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A 2800-square-foot house is built on a flat and bare [tex]\frac{1}{2}[/tex]-acre parcel of land. If an additional 600 square feet are needed for a driveway, how many square feet remain for landscaping?

There will be [tex]\square[/tex] square feet for landscaping.

Answer :

To solve the problem of determining how many square feet remain for landscaping, we need to follow these steps:

1. Determine the Total Parcel Area in Square Feet:
- The parcel of land is [tex]\(\frac{1}{2}\)[/tex]-acre in size.
- Since 1 acre equals 43,560 square feet, [tex]\(\frac{1}{2}\)[/tex] acre is [tex]\(0.5 \times 43,560 = 21,780\)[/tex] square feet.

2. Identify the Area Occupied by the House:
- The house covers an area of 2,800 square feet.

3. Identify the Area Occupied by the Driveway:
- The driveway occupies 600 square feet.

4. Calculate the Remaining Area for Landscaping:
- To find the area available for landscaping, subtract the combined area of the house and the driveway from the total parcel area.
- Remaining area for landscaping = Total parcel area - House area - Driveway area
- That is [tex]\(21,780 - 2,800 - 600 = 18,380\)[/tex] square feet.

Therefore, there will be 18,380 square feet available for landscaping.

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