The diagonal of a square is given by: d = root ((L) ^ 2 + (L) ^ 2) Where, L = side of the square. So we have to clear L: d ^ 2 = (L) ^ 2 + (L) ^ 2 d ^ 2 = 2 (L) ^ 2 (L) ^ 2 = (d ^ 2) / 2 L = root ((d ^ 2) / 2) Substituting L = root (((8) ^ 2) / 2) = 5.66 mm Then, the perimeter of the square is given by: P = 4L = 4 * (5.66) = 22.64mm answer The perimeter of the square is 22.64mm or 22.8 mm
