First, complete the sentence to show how the figure can be decomposed into triangles and rectangles with the fewest number of pieces.

Then find the area of the divisions.

First, Complete The Sentence To Show How The Figure Can Be Decomposed Into Triangles And Rectangles With

Answers

Answer 1

Answer:

The figure will have  2 triangles and 2 rectangles .

The triangles have a combined area of  12  m2.

The rectangles have a combined area of  25  m2.

The figure has a total area of  37 m2.

Answer 2

The figure will have a triangle ABC, a triangle ACD, and a rectangle GDFE.

The total area of the triangles = 26 m²

The total area of the rectangles = 12 m²

The total area of the figure = 38 m²

Given,

The figure is given.

We need to complete the sentence to show how the figure can be decomposed into triangles and rectangles with the fewest number of pieces.

What is the area of a triangle and rectangle?

Area of a triangle: 1/2 x base x height

Area of a rectangle: length x width

We have,

Two triangles and one rectangle.

                        E__3__F

                         |.          |

                         |           | 4m

        _A_4m_G|_____| D

      /.  |   \.                    /

    /.    |     \.                /
   /     4      \.             /                                          

 /.       |        \.         /

/.         |          \.    /

B.        6m         C.            

Area of triangle ABC

= 1/2 x 6 x 4

= 12 m²

Area of triangle ACD.

= 1/2 x 7 x 4

= 14 m²

The total area of the triangles.

= 12 + 14

= 26 m²

Area of the rectangle EFDG

= 4 x 3

= 12 m²

The total area of the figure.

= 26 + 12

= 38 m²


Thus,

The figure will have a triangle ABC, a triangle ACD, and a rectangle GDFE.

The total area of the triangles = 26 m²

The total area of the rectangles = 12 m²

The total area of the figure = 38 m²

Learn more about the area of triangles and rectangles here:

https://brainly.com/question/27701864

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Step-by-step explanation:

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Answers

Answer:

a: b,a,d

b:6,8

c:Angles in a triangle add up to 180:

Angles in ΔDAE=Angles in ΔABC

∠DAE+∠EDA+∠DEA=∠BCA+∠ABC+∠BAC

∠EDA+∠DEA=∠ABC+∠BAC (since ∠DAE=∠BCA, we can cancel them out)

∠DEA=∠BAC (∠EDA=∠ABC=90)

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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This answer has been deleted

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Step-by-step explanation:

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Loading,please wait...

Step-by-step explanation:

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