Question

how can you decompose the composite figure to determine its area?
as a pentagon and four semicircles
as two rectangles and four circles
as a square and four semicircles
as two triangles and four circles

Explanation:

The composite figure has a central square - like (or square) shape and four semicircular regions attached to its sides. A pentagon doesn't match the central shape. Two rectangles or two triangles are incorrect as the central part is more like a square. Four full circles would be incorrect as each attached region is a semicircle (since two semicircles make a circle, and here each "bulge" is a semicircle). So the correct decomposition is as a square and four semicircles.

Answer:

C. as a square and four semicircles