1. Area of Composite Figures
Objective: Find the area of composite figures.

2. A composite figure is made up of triangles, quadrilaterals, semicircles (half of a circle), and other 2-dimensional figures.
To find the area of a composite figure, you must separate it into figures with areas you know how to find, and then ADD those areas.
To find the area of composite figures, lets review the formulas of the other shapes:
Area of a Rectangle: Area = Length × Width
Area of a Triangle: Area = Base × Height 2
Area of a Trapezoid: Area = (base 1 + base 2) × height

3. Example 1:
This figure can be separated into a rectangle and a semicircle. Find the area of each.
Rectangle: A= L × W
A= 10 × 14
A= 140mm2
Semicircle: A= π × r2 2
A = 3.14 × 72
A = 3.14 × 49
A = mm2 = 76.93
Area = = mm2

4. Example 2:
1. Rectangle: A = L × W A = 10 × 6 A = 60 in2 2. Triangle: A = b × h 2 A= 4 × 6 = 24 = 12in Semicircle: A= π × r2 A = 3.14 × 32 ÷ 2 A = 3.14 × 9 ÷ 2 A = ÷ 2 A = in 2 Area = = in2
How many figures do you see?
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5. Your Example: Find the area of this figure
Your Example: Find the area of this figure. ( Separate the figure in shapes, find the area, then add them up.)

6. Homework: