What would be the dimensions of a square-shaped half acre?

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.