Answer:
257.1 square units
Step-by-step explanation:
The problem statement tells you the figure consists of two semicircles and a parallelogram. Two semicircles make a circle. This one has a diameter of 12 units, so has a radius of 6 units.
The parallelogram has a base length of 16 units and a height of 9 units. The usual area formulas can be used.
For the circle,
A = πr² = π(6 units)² = 36π units² ≈ 113.1 units²
For the parallelogram,
A = bh = (16 units)(9 units) = 144 units²
Then the total area of the figure is ...
total area = circle area + parallelogram area
= 113.1 units² + 144 units²
total area = 257.1 units²
