Contributed by:

This pdf help us to find us the area of triangle and other composite Shapes that consists of different polygons like triangle, square and parrllelogram

1.
Math Virtual Learning

6th Grade Math

Area of Composite Shapes

April 23, 2020

6th Grade Math

Area of Composite Shapes

April 23, 2020

2.
6th Grade Math

Lesson: April 23, 2020

Objective/Learning Target:

Students will find the area of composite shapes/polygons by

composing or decomposing the shapes into rectangles and

triangles.

Lesson: April 23, 2020

Objective/Learning Target:

Students will find the area of composite shapes/polygons by

composing or decomposing the shapes into rectangles and

triangles.

3.
Let’s Get Started!

Watch This Video:

Watch This Video:

4.
Bell Ringer:

5.
Bell Ringer: (answers)

b=2

b=4

h=4

h=7

A = (2 x 4) / 2

A=4x7

= 4 sq. un.

= 28 sq. un.

b = 2.1

b = 21

h = 1.8

h = 12

A = (2.1 x 1.8) / 2

A = 21 x 12

= 1.89 sq. un.

= 252 sq. un.

b=2

b=4

h=4

h=7

A = (2 x 4) / 2

A=4x7

= 4 sq. un.

= 28 sq. un.

b = 2.1

b = 21

h = 1.8

h = 12

A = (2.1 x 1.8) / 2

A = 21 x 12

= 1.89 sq. un.

= 252 sq. un.

6.
There are many other ways

to divide trapezoids PQRS.

Dividing the trapezoid into

rectangles and triangles is called

decomposing.

After decomposing the trapezoid

PQRS into triangles and

rectangles, you can find the area

of the smaller pieces using the

formulas you already know.

Finally, add the smaller areas to

find the total area of the trapezoid

PQRS.

to divide trapezoids PQRS.

Dividing the trapezoid into

rectangles and triangles is called

decomposing.

After decomposing the trapezoid

PQRS into triangles and

rectangles, you can find the area

of the smaller pieces using the

formulas you already know.

Finally, add the smaller areas to

find the total area of the trapezoid

PQRS.

7.
To find the side

length of a square,

find the square Putting it all

root of the area. together….

length of a square,

find the square Putting it all

root of the area. together….

8.
Find the area of each composite figure below.

9.
Practice: (Answer Key)

Triangle: Rectangle: Triangle:

b= 8, h= 19 - 13 = 6 A = l x w = 11 x 4 = 44 sq. cm b = 7, h = 8

A = (8 x 6)/2 = 48/2 = 24 sq. in A = (b x h)/2 = (7 x 8)/2

Square: = 56/2 = 28 sq. yd.

Rectangle: A = l x w = 5 x 5 = 25 sq. cm

A= l x w = 13 x 8 = 104 sq. in Square:

Combined Area: A = l x w = 8 x 8 = 64 sq. yd.

Combined Area: A = 44 + 25 = 69 sq. cm

A= 24 + 104 = 128 sq. in Combined Area:

A = 28 + 64= 92 sq. yd.

Triangle: Rectangle: Triangle:

b= 8, h= 19 - 13 = 6 A = l x w = 11 x 4 = 44 sq. cm b = 7, h = 8

A = (8 x 6)/2 = 48/2 = 24 sq. in A = (b x h)/2 = (7 x 8)/2

Square: = 56/2 = 28 sq. yd.

Rectangle: A = l x w = 5 x 5 = 25 sq. cm

A= l x w = 13 x 8 = 104 sq. in Square:

Combined Area: A = l x w = 8 x 8 = 64 sq. yd.

Combined Area: A = 44 + 25 = 69 sq. cm

A= 24 + 104 = 128 sq. in Combined Area:

A = 28 + 64= 92 sq. yd.

10.
Complete the triangle-square-circle reflection for today’s lesson.

What were the What squared What questions

three main (made sense) do you still have

points of today’s with you from circling around

lesson? today’s lesson? in your head?

What were the What squared What questions

three main (made sense) do you still have

points of today’s with you from circling around

lesson? today’s lesson? in your head?

11.
Additional Resources:

Click on the links below to get additional practice and to check your

understanding!

Area of L composite shape

Khan Academy: Area of Composite Shapes

IXL: Area of Composite Shapes

Click on the links below to get additional practice and to check your

understanding!

Area of L composite shape

Khan Academy: Area of Composite Shapes

IXL: Area of Composite Shapes