Final answer:
The correct option is (A) Above the x-axis, as the rectangle is bounded by the x-axis and a semicircle that lies entirely above the x-axis.
Step-by-step explanation:
The given information suggests that the rectangle is formed by the x-axis and a semicircle. If the semicircle lies entirely above the x-axis, the rectangle formed by these elements would be above the x-axis. Therefore, the correct option is (A) Above the x-axis. This implies that the bottom side of the rectangle is aligned with the x-axis, and the semicircle is positioned above it.
For the rectangle to be below the x-axis (Option B), it would mean that the semicircle is positioned below the x-axis, which is not consistent with the given information. Similarly, if the rectangle touches the x-axis (Option C), the semicircle would have to intersect the x-axis, which contradicts the statement that the rectangle is bounded by the x-axis and the semicircle. Lastly, if the rectangle does not intersect the x-axis (Option D), it would imply that the entire structure is above the x-axis, aligning with Option A.