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

as three triangles and a circle as two triangles,

a rectangle, and a circle as a triangle, a pentagon,

and a semicircle as a triangle, a rectangle, and a semicircle

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

The option 4  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:

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

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: