Decomposing 2D Shapes Area

If I need to find the area of these Polygons; how could I decompose them in order to use formulas I already know? Draw lines to show what shapes you have inside the Octagon & Hexagon. Then decompose the Hexagon in 2 different ways.

We learned 3 different ways to find the area of a ​ (a)   . When we ​find the area by (b)   ​ we break the trapezoid into 1 ​rectangle and ​ (c)   ​ triangles . When we compose in order to find the area, we copy, flip, and put it side by side to make a ​ (d)   . The last way we learned to find its area was using the formula: ​ ​ ​ ​ ​ (e)  

• trapezoid

• parallelogram

• circle

• decomposing

• 1 or 2

• hexagon

• multiply

• A=BH

• 2

Drag the formulas to the shape they belong to.

d

c

b

a

Area = Base x Height Divided by 2

Tags

CCSS.6.G.A.1

Decompose the irregular shape and find its total area.

• 96 units2

• 152 units2

• 192 units2

• 240 units2

Tags

CCSS.3.MD.C.7D

Decompose the parallelogram into a rectangle. Which quadrilateral is the correct shape?

• 
• 
• 

Tags

CCSS.1.G.A.2

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

This right triangle's area is __ in²

Tags

CCSS.6.G.A.1

Find h

• h = 6

• h = 491 in²

• h = 6 in²

• h = 8 in²

Tags

CCSS.6.G.A.1

• A=LW

• 4

• area

• height

• divide

• 3.25 cm2

• 6R5

• 6.5 cm2

Tags

CCSS.6.G.A.1

Find the area of this shape

• 4.5 m²

•  5 m²

• 9 m²

• 6.3 m²

Tags

CCSS.6.G.A.1