As shown in the figure, the side length of square ABCD is 2, and △ BCE is an equilateral triangle. Complete the figure and find the area of △ ade The picture is a square

As shown in the figure, the side length of square ABCD is 2, and △ BCE is an equilateral triangle. Complete the figure and find the area of △ ade The picture is a square

Point E may be outside and inside the square
When point E is inside the square, the height of triangle BCE is root 3, so the height of triangle ade is 2-root 3, so the area is 1 / 2 * 2 * (2-root 3) = 2-root 3
When point E is outside the square, the height of triangle BCE is root 3, so the height of triangle ade is 2 + root 3, so the area is 1 / 2 * 2 * (2 + root 3) = 2 + root 3