IM 6.1.2 Practice: Finding Area by Decomposing and Rearranging
This rectangle has been decomposed along its diagonal. Recompose the two pieces to make a different shape.
How does the area of this new shape compare to the area of the original rectangle? Explain how you know.
Priya decomposed a square into 16 smaller, equal-size squares and then cut out 4 of the small squares and attached them around the outside of original square to make a new figure.
How does the area of her new figure compare with that of the original square?
The area of the square is 1 square unit. Two small triangles can be put together to make a square or to make a medium triangle.
Refer to figures A - D to answer the question below.
Which figure also has an area of square units? Select all that apply.
Use the app below to show your reasoning as to why your selected answer is correct.
The area of a rectangular playground is 78 square meters. If the length of the playground is 13 meters, what is its width?
A student said, “We can’t find the area of the shaded region because the shape has many different measurements, instead of just a length and a width that we could multiply.”
Explain why the student’s statement about area is incorrect.