160 cm
The rectangle has an area of length times height which is 10 x 16 = 160 square units.
The semicircle has a radius equal to half the length of the rectangle, which is 5 units. The formula for the area of a circle is A = πr²/2, where A is the area and r is the radius. So the area of the semicircle is:
A = (π x 5²)/2 = 39.27 square units (rounded to two decimal places)
Therefore, the total area of the figure is the sum of the area of the rectangle and the area of the semicircle:
Total area = 160 + 39.27 = 199.27 square units
Rounding to the nearest unit, the answer is 199 square units.
So the correct option is:
160 cm