Http:// Take out a calculator to try to solve the following problems on area of composite figures

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Take out a calculator to try to solve the following problems on area of composite figures.


For Learning to Happen!•Pay close attention to this lesson.•This lesson is very short.•However, this is a challenging lesson!•It is important to follow along with the slides so that you know how to do you know how to calculate the area of composite figures!


To understand COMPOSITE

FIGURES you first must know how to calculate missing

sides.


What are the missing side lengths?

12 m

6 m

3 m

9 m

3 m

12 m – 9 m =



12 m

6 m

3 m

9 m

3 m

3 m

6 m – 3 m =



10 ft

7 ft

3 ft

3 ft10 ft – 7 ft =


What are the missing side lengths? 1 in

2 in

3 in

14 in

5 in3 in

5 in+ 3 in + 2 in + 1 in = 11 in

14 in – 11 in =


There are multiple methods for solving

Area of Composite Figures.

The 1st method I am going to show you is

how to break it up into simpler area

problems.


What is the total shaded area?

12 m

6 m

3 m9 m

3 m

3 m1Area

2Area

Total Area

2A s23 9

A bh12 3 36

245 m


The 2nd method involves finding an entire

area and then subtracting smaller

areas.Pay attention you

don’t want to miss this!


What is the total shaded area?

12 m

6 m3 m

9 m

3 m

3 m

1Area

2Area

Total Area

l w

l w

6 12 272 m

9 3 227 m

245 m


Find the perimeter of the figure below.

Perimeter4

8

16

6 84

10

8 +16 +8 +10 +4 +6 +4

= 56 UNITS

16 – 6 = 10


Find the area of the figure below.Area

48

16

6 84

101Area

2Area

l w

l w

16 8 2128 un

6 4 224 un

2104 un

Total Area


Find the area of the figure below.

A = bh

A = 12 • 9

Area of the rectangle:

Area of the triangle:

A = bh12

__

A = • (6)(7)12__

A = • 42 12

__

Subtract the area of the triangle from the area of the rectangle.

5 ft

12 ft

6 ft9 ft

12- 5 = 7ft

= 21 ft2

= 108 ft2


Find the area of the figure below.

A = bh

A = 12 • 9

Area of the rectangle:

Area of the triangle:

A = bh12

__

A = • (6)(7)12__

A = • 42 12

__

5 ft

12 ft

6 ft9 ft

12- 5 = 7ft

= 21 ft2

= 108 ft2

Shaded area=Area of the rectangle – Area of the triangle

A = 108 – 21 = 87 ft2


THE END!!!

Take out your study guide!


#10

20 m

12 m 13 m

Perimeter

Area1Area

P = 12 + 20 + 13 + 25

P = 70 m

5 m25m

2Area

Total Area

l w

b h2

20 12 2240 m

5 122 230 m

2270 mANOTHER WAY: Area of a Trapezoid

12(25 20)2 2270mA = (b1 + b2) x h

2


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Http:// Take out a calculator to try to solve the following problems on area of composite figures