Question

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.

Answer 1

All of the numbers for the decomposed triangle is four

Answer 2

First, the figure can be decomposed into triangles and rectangles with the fewest number of pieces by dividing it into two rectangles and one triangle.

Now, let's find the area of each division.

Rectangle 1:
Length = 5 cm
Width = 4 cm
Area = Length * Width = 5 cm * 4 cm = 20 cm^2

Rectangle 2:
Length = 5 cm
Width = 2 cm
Area = Length * Width = 5 cm * 2 cm = 10 cm^2

Triangle:
Base = 4 cm
Height = 3 cm
Area = (Base * Height) / 2 = (4 cm * 3 cm) / 2 = 12 cm^2

Answer 3

Apologies for the confusion. Let's decompose the figure into triangles and rectangles using the fewest number of pieces.

First, we can divide the figure into two rectangles.

Rectangle 1:
Length = 4 cm
Width = 3 cm
Area = Length * Width = 4 cm * 3 cm = 12 cm^2

Rectangle 2:
Length = 4 cm
Width = 1 cm
Area = Length * Width = 4 cm * 1 cm = 4 cm^2

Now, the remaining shape is a triangle.

Triangle:
Base = 4 cm
Height = 1 cm
Area = (Base * Height) / 2 = (4 cm * 1 cm) / 2 = 2 cm^2