On a 1/4 acre lot what percentage would be left after building a tennis court on a 120'x80'

1 acre = 43,560 square feet

(1/4) * 43,560 = 10,890 sq. ft.

120 * 80 = 9,600 sq. ft.

10,890 - 9,600 = 1,290

1,290/10,890 = 0.1184 = about 3/10

To determine the percentage of the 1/4 acre lot that would be left after building a tennis court on a 120' x 80' area, we need to find the area of the tennis court and subtract it from the total area of the lot.

1 acre is equivalent to 43,560 square feet, so 1/4 acre is 43,560/4 = 10,890 square feet.

To find the area of the tennis court, we multiply the length by the width:
Area of tennis court = 120 feet x 80 feet = 9,600 square feet.

Now, we subtract the area of the tennis court from the total area of the lot:
Remaining area = Total area - Area of tennis court
Remaining area = 10,890 square feet - 9,600 square feet

The remaining area of the lot after building the tennis court is 1,290 square feet.

To find the percentage, we divide the remaining area by the total area and multiply by 100:
Percentage = (Remaining area / Total area) x 100
Percentage = (1,290 square feet / 10,890 square feet) x 100
Percentage ≈ 11.85%

So, approximately 11.85% of the 1/4 acre lot would be left after building a tennis court on a 120' x 80' area.

To determine the percentage of the 1/4 acre lot that would be left after building a tennis court, we first need to find the area of the tennis court and subtract it from the area of the lot. Here are the steps:

1. Convert 1/4 acre to square feet: Since 1 acre is equal to 43,560 square feet, 1/4 acre is equal to (1/4) * 43,560 = 10,890 square feet.

2. Find the area of the tennis court: The dimensions of the tennis court are given as 120' x 80'. To find the area, multiply the length by the width: 120' * 80' = 9,600 square feet.

3. Calculate the remaining area: Subtract the area of the tennis court from the total area of the lot: 10,890 square feet - 9,600 square feet = 1,290 square feet.

4. Convert the remaining area to a percentage: Divide the remaining area by the total area of the lot, and multiply by 100 to get the percentage. In this case, 1,290 square feet / 10,890 square feet * 100 = 11.85%.

Therefore, approximately 11.85% of the 1/4 acre lot would be left after building the tennis court.