Respuesta :
Answer:
A semicircle, a hexagon, and a rectangle
Step-by-step explanation:
A semicircle would need to remain a semicircle so the answer would have to include that, which eliminates the first and last options. Then, you would need to figure out what makes up a hexagon, and it can either be made up of 6 triangles or two trapeziods, or keep the hexagon, but not a pentagon, therefore eliminating the second option, and therefore you can decompose the figure in to a semicircle, a hexagon and a rectangle.
The composite figure can be easily decomposed into a semicircle, a rectangle and a hexagon.
What is rectangle?
A figure bounded by 4 sides in which the opposite sides are equal and all the internal angles are 90 ° is called a rectangle.
What is a hexagon?
A polygon bounded by six sides is called a hexagon.
What are trapezoids?
A trapezoid is a quadrilateral with one pair of opposite sides parallel.
What is a pentagon?
A polygon bounded by five sides is called a pentagon.
How to find how to decompose the composite figure to determine its area?
According to the problem,
- The composite figure is made up of simple geometric shapes including semicircle, a hexagon, and a rectangle.
- To find the area of a composite figure or other irregular-shaped figure we will have to divide it into simple, non overlapping figures.
- Now, a semicircle would need to remain a semicircle so the answer would have to include that, which eliminates the first and last options.
Now considering the hexagon,
- A hexagon can be divided into 6 triangles or two trapeziods, or but not a pentagon.
So the second option is also wrong.
But we clearly decompose this shape into a semicircle, a rectangle and a hexagon.
So the third option is correct.
Find more about "Composite figures" here: https://brainly.com/question/15981553
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