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.
Width: 4
Base: 4
Length: 4

Answer 1

[AI-generated answer — Bot GPT 3.5]

The figure can be decomposed into one rectangle and four triangles with the fewest number of pieces.

The area of the rectangle is given by the formula:
Area = Length * Width = 4 * 4 = 16 square units.

The area of each triangle can be found using the formula:
Area = (1/2) * Base * Height.
Since the base of each triangle is 4 units and the height is 4 units, the area of each triangle is:
Area = (1/2) * 4 * 4 = 8 square units.

Therefore, the total area of the divisions is:
Total area = Area of rectangle + (Number of triangles * Area of each triangle)
Total area = 16 + (4 * 8) = 16 + 32 = 48 square units.