Decomposing Figures to Find Area

Jada said that she found the area of figure A by cutting it into 3 rectangles, finding their separate areas, and then adding those areas. Which strategy best describes what Jada did?

• decomposing and rearranging

• decomposing

• enclosing and subtracting

• counting grid squares

Mai found the area of figure D by cutting the shape in half, moving the smaller triangles together, and making a new rectangle. Which strategy best describes what Mai did?

• decomposing

• enclosing and subtracting

• decomposing and rearranging

What is the area of figure D

Select the statement that is true about all three figures

• The area of the first figure is greater than the others

• The areas are all equal

• The area of the middle figure is the smallest of the three

• We don't have enough information to compare the areas

Select all strategies that could be used to find the area of this shape. (Hint: Select all means more than one)

• The area can be found by counting the number of squares that touch the edge of the shape

• The area can be found by adding 5x2, 4x2, and 2x2

• The area of the shape is 22 square units

• The area can be found by counting the number of grid squares inside the shape

Diego said he can find the area of figure B by first multiplying 6x6. What should Diego's next step be?

• adding the area of 1 and 2

• subtracting the area of 1 and 2

• Nothing. His area is 36 square units

• decomposing and rearranging

Find the area of this quadrilateral.

Hint: Think about decomposing and rearranging.

• 28 sq units

• 40 sq units

• 35 units²

• 21 units²

The amount of space inside an object or figure is called:

• area

• perimeter

The area of this rectangle is...

• 42 square cm

• 21square cm

• 80 square cm

• 752 square cm

Both figures have the same area.

• True

• False