The area of the composite figure is 6π + 16 cm²
Composite Figure:
Composite figures are composed of different dimensional figures. The area of a composite figure is the sum of the whole 2 dimensional figures that forms the composite figure.
Therefore, the figure above has 3 semi circle and 1 square.
Therefore, the area can be calculated as follows;
- area = sum of the area of the 3 semi circle + area of the square
area = 1 / 2 πr² + 1 / 2 πr² + 1 / 2 πr² + L²
area = 3 / 2 (πr²) + L²
where
r = 2 cm
L = 4 cm
Therefore,
area of the composite figure = 3 / 2(π × 4) + 4²
area of the composite figure = 3 / 2(4π) + 16
area of the composite figure = 6π + 16 cm²
learn more on composite figures here: https://brainly.com/question/1639299
