Question

Decompose the rectangle along the diagonal and recompose the two pieces to make a different shape

Answer 1

Decompose the rectangle along the diagonal and recompose the two pieces to make a different shape, then five different ways are shown.

Further explanation

Area is the number of squares inside a two-dimensional shape.

Here are two important principles for finding area:

• If two figures can be placed one on top of the other, then they have the same area so that they match up exactly.
• We can decompose a figure (break a figure into pieces) and rearrange the pieces (move the pieces around) to find its area.

A rectangle has two diagonals. Each one is a line segment drawn between the opposite vertices (corners) of the rectangle. For rectangle, shapes can be decomposed and rearranged back to rectangles to find the area.  When decomposing and rearranging shapes the area of the polygon does not change.

The rectangle is shown in the picture below. After decompose the rectangle along the diagonal, we can varied the pieces to make various different shape. Picture below also shown the five different ways pieces from the rectangle.

Learn more

1. Learn more about rectangle brainly.com/question/2810576
2. Learn more about Decomposing and Rearranging brainly.com/question/3026941
3. Learn more about Area and Surface Area brainly.com/question/9265968

Answer details

Grade:  9

Subject:  Mathematics

Chapter:  Area and Surface Area

Keywords: Area, Surface Area, Decomposing, Rearranging, rectangle