How can you decompose the composite figure to determine its area?
2 answers:
Option 4 is the correct choice.
To elaborate:
The figure under consideration is a composite shape that includes several two-dimensional figures.
The description clarifies using the accompanying illustration.
Examining option 1: It suggests three triangles and a circle.
This option is invalid as the provided figure does not contain three triangles.
Thus, option 1 is incorrect.
Looking at option 2: It states two triangles, one rectangle, and a circle.
Again, this option is invalid as the figure does not have two triangles and a circle.
Consequently, option 2 is incorrect.
Next is option 3: a triangle, a pentagon, and a semicircle.
This option is also invalid because the figure does not include a pentagon.
Therefore, option 3 is incorrect.
Lastly, option 4: includes a triangle, a rectangle, and a semicircle.
This option is valid as seen in the attached image, showing a rectangle, a triangle, and a semicircle present.
The overall area of the composite figure equals the sum of area 1, area 2, area 3, and area 4.
Area 1 indicates the triangle, area 2 signifies the rectangle, and area 3 represents the semicircle.
Thus, option 4 is correct.
For additional information:
Response specifics:
Grade Level: Middle school
Subject Matter: Mathematics
Chapter Topic: Two dimensional figures
Relevant Keywords: triangle, rectangle, area, semicircle, pentagon, circle, figure, composite figure, combined figure, sum, decomposition, shapes
Refer to the attached image for a clearer understanding of the issue.
It is established that
The total area of the composite shape can be calculated by adding Area 1, Area 2, and Area 3 together.
Area 1 consists of a triangle.
Area 2 is a rectangle.
Area 3 is a semicircle
So,
the options are
a triangle, a rectangle, and a semicircle.
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