You can't tell the linear dimensions from knowing the area. There are an infinite number of shapes that all have the same area. Even if you restrict it to rectangles, there are still an infinite number of rectangles, all with different dimensions, that all have the same area.
Here are a few examples. All of the following rectangles have an area of 1/4 acre:
11 x 990
22' x 495'
33' x 330'
55' x 198'
66' x 165'
90' x 121'
99' x 110'
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A quarter acre is equivalent to 10,890 square feet. To put it into perspective, a quarter acre lot could be roughly 90 feet by 120 feet in dimensions.
There are 10,890 square feet in a quarter-acre that is perfectly square.
The next size up from a quarter acre is half an acre. It is equivalent to 21,780 square feet and is twice the size of a quarter acre.
An acre of land is equal to 43,560 square feet, so half an acre is 21,780 square feet. The dimensions of a half-acre plot can vary depending on the shape, but a common dimension for a half-acre plot is approximately 209 feet by 104 feet.
An acre is 43,560 square feet.An acre is 43,560 square feet.
One acre is equal to 43,560 square feet. Therefore, three quarters of an acre would be 32,670 square feet.