Area Decomposing

What is the area of the figure?

• 20 sq cm

• 4 sq cm

• 30 sq cm

• 24 sq cm

What is the area of the figure?

• 80 cm²

• 16 cm²

• 96 cm²

• 32 cm²

Calculate the area of this shape

• 240 cm²

• 64 cm²

• 432 cm²

• 304 cm²

What is the area of this figure?

• 52 square centimeters

• 36 square centimeters

• 57 square centimeters

• 40 square centimeters

Priya decomposed a square into $$

16 identical smaller squares. She then cut out $$

4 of the small squares and placed them around the outside of the original square to make a new shape, as shown.

Which of these statements accurately describes how the area of her new shape compares to the area of the original shape?

• The area of the new shape is greater.

• The two shapes have the same area.

• The area of the original square is greater.

• It is not possible to tell because neither the side length nor the area of the original square is known.

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

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

Find the area of the composite figure.

___ square centimeters

Select all the true statements about this shape (Hint: Select all means more than one)

• The area can be found by decomposing into rectangles

• The area cannot be found because there are too many measurements

• The area can be found by multiplying 60x30 and subtracting missing pieces

• The area can be found by adding all the side lengths together

____ is the amount of space occupied by two-dimensional figure

• Area

• Volume

• Perimeter