Find Area by Composing and Decomposing Practice Test

A craftsman is making a decorative wooden piece by combining shapes. He starts with a square measuring 16 cm on each side, then adds four identical right triangles to the outside of each edge. Each triangle has legs of 8 cm and 6 cm. What is the total area of the completed decorative piece?

A parallelogram-shaped parking lot needs to be repaved. The lot can be divided into two identical triangles, each with a base of 45 meters and a height of 28 meters. However, there is a rectangular flower bed in the center that measures 8 meters by 12 meters that does not need repaving. What is the area that needs to be repaved?