Area of Decomposed Shapes

To decompose a quadrilateral into two identical shapes, Clare drew a dashed line as shown in the diagram.

She said the that two resulting shapes have the same area. Do you agree? Explain your reasoning.

Tags

CCSS.3.MD.C.7D

Triangle R is a right triangle. use two copies of Triangle R to compose a parallelogram that is not a square.

Tags

CCSS.1.G.A.2

Two copies of this triangle are used to compose a parallelogram. Which parallelogram cannot be a result of the composition? If you get stuck, consider using tracing paper. Select all that apply

• A

• B

• C

• D

Tags

CCSS.1.G.A.2

On the grid, draw at least three different quadrilaterals that can each be decomposed into two identical triangles with a single cut (show the cut line). One or more of the quadrilaterals should have non-right angles. Label the square with and S and the rectangle with and R.

Tags

CCSS.1.G.A.2

Find the area of the composite figure.

___

• 19 square cm

• 30 square cm

• 29 square cm

• 45 square cm

Tags

CCSS.3.MD.C.7D

Decompose the irregular shape and find its total area.

• 96 units2

• 152 units2

• 192 units2

• 240 units2

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

Tags

CCSS.3.MD.C.7D

Determine the area of the following figure.

• 27 in²

• 36 in²

• 18 in²

• I have no idea

Tags

CCSS.3.MD.C.7D

Find the area of the composite figure.

___ square centimeters

Tags

CCSS.3.MD.C.7D

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