The given region is the combination of a semicircle with radius 6 cm and a square with side length 12 cm. Find the area of the given region using the formula for the area of a circle, A = πr2 where r is the circle's radius, and the formula for the area of a square, A = s2 where s is the length of a side of the square. Remember, a semicircle's area is one half the area of the circle with the same radius.