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3 Composite Rectangles Find the missing values. 8 m8 m 6 m6 m 4 m4 m 4m 4 m4 m 2 m2 m2 m2 m 6 m6 m End of Slide Do Questions 1 a = 4m, b = (8 – 4) ÷ 2 = 2. c = 6m, Perimeter = 4m +6m +2m +4m + 8m +4m +2m +6m = 36 m

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Page 1: 1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Perimeter of Composite Figures Stage 6 - Year 11 Applied Mathematic (Preliminary General 1)

1Press Ctrl-APress Ctrl-A

©G Dear 2010 – Not to be sold/Free to use

Perimeter ofPerimeter ofComposite FiguresComposite Figures

Stage 6 - Year 11Stage 6 - Year 11

Applied Mathematic(Preliminary General 1)

Page 2: 1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Perimeter of Composite Figures Stage 6 - Year 11 Applied Mathematic (Preliminary General 1)

2

Composite RectanglesFind the missing values.

8 m

6 m

4 m

4m a

b b

c

a = 4m ,b = (8 – 4) ÷ 2 = 2.

c = 6m ,4 m

2 m2 m

6 m

Page 3: 1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Perimeter of Composite Figures Stage 6 - Year 11 Applied Mathematic (Preliminary General 1)

3

Composite RectanglesFind the missing values.

8 m

6 m

4 m

4m 4 m

2 m2 m

6 m

End ofSlideDo Questions 1

a = 4m ,b = (8 – 4) ÷ 2 = 2.

c = 6m,

Perimeter = 4m +6m +2m +4m +8m +4m +2m +6m

= 36 m

Page 4: 1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Perimeter of Composite Figures Stage 6 - Year 11 Applied Mathematic (Preliminary General 1)

4

5cm

5cm

Triangles and Rectangles

Press

Press

12 cm

End ofSlide

h= 4cm

6 cm

6 +Perimeter =

8 cm

b= 6 cm

Do Questions 2

Pythagoras Theorem

3cm

8 cm 8 +5 +5 +8=36 cm

Page 5: 1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Perimeter of Composite Figures Stage 6 - Year 11 Applied Mathematic (Preliminary General 1)

5

9.4 cm

End ofSlide

Circumference of CirclesPres

s

14

cm

2 π r

D= 6 cm

L=6 cm

B 11 cm

Do Questions 3 and 4

P = 0.5 x

11 cm

[r=3cm]2 π 3+ 11+ 6+ 11

≈ 9.4 +28≈ 37.4 cm

Page 6: 1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Perimeter of Composite Figures Stage 6 - Year 11 Applied Mathematic (Preliminary General 1)

6

14.1 cm

15 cm

End ofSlide

Circumference of CirclesPres

s0.25 x

2 π

r

r= 9 cm

L=9 cm

B 6 cm

Do Questions 5

P = 0.25 x2 π 9+ 6+ 9+ 15≈ 14.1 +30≈ 44.1 cm

6 cm