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3 years ago

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

Mathematics

2 answers:

laiz [17]3 years ago

6 0

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

Kipish [7]3 years ago

6 0

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

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week. Which set describes the domain of P(h)? {h| 0 ≤ h ≤ 40} {h| 0 ≤ h ≤ 60} {P(h)| 0 ≤ P(h) ≤ 1,400} {P(h)| 0 ≤ P(h) ≤ 1,800

#SPJ4

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