Area With Decomposition

The amount of units inside a closed figure; it is measured in square units.

• altitude

• decomposition

• triangle formula

• area

Irregular figures can be separated into triangles and other polygons in order to find area

• decomposition

• area

• parallelogram formula

• altitude

The fraction tape diagram (area model) shows that:

• 1/2 = 3/6

• 1/2= 6/12

• 1/2= 6/6

• 3/4 = 3/6

Use the model to give the shaded area as both a sum of unit fractions and as a multiplication sentence.

• 1/4 = 2/8
  1/4= 1/8 + 1/8= 2/8
  1/4 = 2 X 1/8 = 2/8

• 1/2 = 2/8
  1/2= 1/8 + 1/8= 2/8
  1/2 = 2 X 1/8 = 2/8

• 1/3 = 2/8
  1/3= 1/8 + 1/8= 2/8
  1/3 = 2 X 1/8 = 2/8

Find the area of the composite figure.

___ square feet

Find the area of the composite figure.

• 19 square cm

• 30 square cm

• 29 square cm

• 45 square cm

Decompose the trapezoid into a rectangle and two right triangles. What is the area of this trapezoid?

• 45 ft²

• 72 ft²

• 57 ft²

• 40 ft²

Find the area of the composite figure.

• 19 square cm

• 30 square cm

• 29 square cm

• 45 square cm

Calculate the area of the following composite figure:

• 37 units²

• 39 units²

• 33 units²

• 40 units²

Juan drew a diagram of his garden.

What is the area of his garden?

• 30 ft²

• 37 ft²

• 45 ft²

• 54 ft²