Question

How can you decompose the composite figure to determine its area?

Answer 1

see the attached figure to better understand the problem

we know that

The Area of the composite figure is equal to the sum of Area 1, Area 2 and Area 3

The Area 1 is a triangle

The Area 2 is a rectangle

The Area 3 is equal a semicircle

therefore

the answer is the option

a triangle, a rectangle, and a semicircle

Answer 2

The option 4 $\boxed{{\mathbf{a triangle, a rectangle, and a semicircle}}}$  is correct.

Further explanation:

The given figure is the composite figure that involves some two dimensional shapes.

It can be better understand through the attached figure.

Option 1: Three triangles and a circle

It can be seen that in the given figure there is not any three triangles.

Therefore, option 1 is not correct.

Option 2: Two triangles, a rectangle and a circle.

It can be seen that in the given figure there is not any two triangles and a circle.

Therefore, option 2 is not correct.

Option 3: a triangle, a pentagon and a semicircle

It can be seen that in the given figure there is not any pentagon.

Therefore, option 3 is not correct.

Option 4: a triangle, a rectangle and a semicircle

It can be seen from the attached figure that there is one rectangle, one triangle, one semicircle.

The area of the combined figure is the sum of area 1, area 2, area 3 and area 4.

Area 1 represents the triangle, area 2 represents the rectangle, area 3 represents semicircle.

Therefore, option 4 is correct.

Learn more:

• Learn more about the function is graphed below brainly.com/question/9590016

• Learn more about the symmetry for a function brainly.com/question/1286775

• Learn more about midpoint of the segment brainly.com/question/3269852

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Two dimensional figure

Keywords: triangle, rectangle, area, semicircle, pentagon, circle, figure, composite figure, combined figure, sum, decomposition, shapes