A half acre is 21,780 square feet. There are various combinations of length and width that would amount to this area. One possibility is 110 x 198 feet. Another is 55 x 396. If it were square, each side would be approximately 147.58 feet.
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An acre contains 43,560 square feet. So half that would be 21,780 square feet. The dimensions can vary as long as it gets to that size. An approximation would be 105 feet by 207 feet.
One acre = 43,560 square feet. One half acre = 21,780 square feet. Since the area is a square, the sides are all equal in length. So one knows that to solve this requires knowing what number multiplied by itself equals 21,780. The solution is to take the square root of 21,780 which is equal to 147.58 feet or the dimensions of all four sides.
An acre is 43,560 square feet. Half an acre is half that amount. Choose any number of feet for the length, then divide the square feet (for half an acre) by that number to get the width.
20 by 20?
This question cannot be answered sensibly. An acre is a measure of area, with dimensions [L2]. A foot is a measure of distance, with dimensions [L]. Basic dimensional analysis teaches that you cannot convert between measures with different dimensions such as these without additional information.