Answer:
(6π + 16) cm²
Step-by-step explanation:
The composite shape can be cut into 4 shapes.
3 equal semi-circles and 1 square.
The square has a side length of 2 + 2 = 4cm.
The radius of the semi-circle is 2 cm.
The area of the square is:
4 × 4 = 16 cm²
The area of the semi-circle is:
2²π × 1/2
= (2π) cm²
There are 3 equal semi-circles, so multiply the area by 3.
2π × 3 = (6π) cm²
Add the areas of the 4 shapes.
16 cm² + (6π) cm²
= (6π + 16) cm²
The total area of the composite shape is (6π + 16) cm².
