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Take out a calculator to try to solve the following problems on area of composite figures.
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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!
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To understand COMPOSITE
FIGURES you first must know how to calculate missing
sides.
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What are the missing side lengths?
12 m
6 m
3 m
9 m
3 m
12 m – 9 m =
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What are the missing side lengths?
12 m
6 m
3 m
9 m
3 m
3 m
6 m – 3 m =
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What are the missing side lengths?
10 ft
7 ft
3 ft
3 ft10 ft – 7 ft =
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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 =
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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.
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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
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The 2nd method involves finding an entire
area and then subtracting smaller
areas.Pay attention you
don’t want to miss this!
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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
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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
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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
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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
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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
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THE END!!!
Take out your study guide!
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#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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AREA FORMULAS $30 1. Area of a Rectangle & Square2. Area of a Parallelogram & Triangle3. Area of a Trapezoid4. Area of a Circle Discovery WS5. Area of Irregular Figures6. Area of Composite Figures 7. Perimeter & Area Review
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