Find the shaded area.

13.7345175425633 square feet

The rounding instructions are cut off, so it's not clear how you want to round this.

Explanation:

The area of the square is 8*8 = 64 square feet.

The two unshaded semicircles combine to form a full circle of radius 4 ft. This circle has an area of A = pi*r^2 = pi*4^2 = 16pi square feet.

The shaded area is the result of taking the circle area away from the larger square area

shaded area = (area of large square) - (area of two semicircles)

shaded area = (area of large square) - (area of circle with radius 4)

shaded area = 64 - 16pi = exact value

shaded area = 13.7345175425633 = approximate value