Composite

Shapes

What is your favorite song?...

A song is an example of a composition.

It is composed of drums, guitar, singing, and perhaps some hip hop record scratching….

How does a musician compose a song?

drums piano vocal guitar

Engineers, architects, and graphic designers are composers as well.

Instead of using instruments, they use simple geometric shapes to construct everything from bridges, to air planes, to video games….

Skateparks

All composite shapes can be broken down into a collection of

simple shapes

Do not copy this page down.

Composite shapes are used all the time in art and graphic design.

Video game design..

Superheros…

How would you divide this shape up?

A rectangle and 2 semi-circles

Atotal = A1 + A2 + A3

A1 A2

A3

Atotal = A1 + A2 + A3

A1

A2

A3

How?

Atotal = A1 - A2

A1

A2

1. Find the area:

10 cm

2 cm

7 cm

10 cm

3 cm

12 cm

A = A1 + A2

A1

A2 = 10x2 + 10x3

= 20 + 30

= 50 cm2

2. Find the area of the grey region

10cm

3

A = r2

Ay = A1 - A2

Ay = (10)2 - (3)2

A1

A2

Ay = 100 - 9

Ay = 285.7 cm2

Complete the

10 composite shapes activity.

Include

1. Diagram

2. Steps

3. Circled answer