Question

how can you decompose the composite figure to determine its area? as two semicircles and a rectangle as two circles and a rectangle as a circle and a square as two semicircles and a trapezoid

Explanation:

The composite figure has two semicircular ends (which together make a full circle, but decomposing as two semicircles) and a rectangular middle part. Two semicircles (left and right) and a rectangle (the middle) fit the shape. Two circles would be incorrect (only two semicircles), a circle and square doesn't match (middle is rectangle, not square), and trapezoid is wrong (middle is rectangle). So the correct decomposition is two semicircles and a rectangle.

Answer:

A. as two semicircles and a rectangle