Find the area of a star colored in red inscribed in a unit square according to the picture below. E is the midpoint of AB, and other edges follow the same pattern.
I'm guessing that you wnat to know the ratio of the red area to the area of the square ???
One white area has a base = the side of the square = S
And the height of one of these right triangles = S/4
So....its area = (1/2) S ( S/4) = S^2 / 8
And the toal white area = (4) S^2/8 = S^2/2
So....red area to square area = 1/2