Find the area of the shaded design in figure, where $ABCD$ is a square of side $10\ cm$ and semicircles are drawn with each side of the square as diameter. (Use $\pi =3.14$)

The shaded design is the intersection of four semicircles of radius 5 cm inside the square. Its area can be found by adding the areas of the four semicircles and subtracting the area of the 10 cm by 10 cm square. The area of the four semicircles is equivalent to the area of two full circles of radius 5 cm, which is 2 multiplied by pi multiplied by 25, equaling 50*pi cm^2. Subtracting the 100 cm^2 area of the square gives 50*pi minus 100. The correct result is 50*pi minus 100.

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