9514 1404 393
Answer:
(40π +48) cm²
Explanation:
The total area is the sum of the areas of a 12 cm circle, a 4 cm circle, and a 12 cm by 4 cm rectangle.
For a given diameter (d), the area of a circle is ...
A = (π/4)d²
Then the area of the two circles is ...
A = (π/4)(12 cm)² +(π/4)(4 cm)² = (π/4)(144 cm² +16 cm²) = 40π cm²
The area of the rectangle is ...
A = LW
A = (12 cm)(4 cm) = 48 cm²
Then the total area of the figure is ...
total area = circle area + rectangle area
total area = 40π cm² +48 cm²
total area = (40π +48) cm²