Obj. 39 Composite Figures
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The document discusses finding the area of composite figures, which are shapes made up of simple shapes like triangles, rectangles, trapezoids, and circles. To find the area of a composite figure, you divide it into its simple shapes, find the area of each shape, and add or subtract the areas together. It provides examples of calculating the areas of different composite figures by breaking them into triangles, squares, circles and other basic shapes and combining those areas.
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Obj. 39 Composite Figures
- 1. Composite Figures The student is able to (I can): • Find the area of composite figures
- 2. composite figure A shape made up of simple shapes such as triangles, rectangles, trapezoids, and circles. To find the area of the composite figure, divide the shape into the simple shapes, find the areas of each, and add (or subtract) them.
- 3. Examples Find the area of each shape. Round to the nearest tenth if necessary. 1. 38 20 70 40 3238 (20)(38) = 760
- 4. Examples Find the area of each shape. Round to the nearest tenth if necessary. 1. 38 20 70 40 760 3238 − =2 2 40 32 24 24 ( )( ) = 1 32 24 384 2 384 Area = 760 + 384 = 1144 (20)(38) = 760
- 5. Examples 2. 17" 42" 8" Area = Triangle — ½ Circle = = 1 Triangle (17)(42) 357 sq. in. 2 = π = π211 Circle (4 ) 8 sq. in.2 2 = − π ≈A 357 8 331.9 sq. in.
- 6. Examples 3. Find the area of the shaded portion to the nearest tenth. 6 ft. ( )= π = π2 2 Circle 3 9 ft ( )( )= = 21 Square 6 6 18 ft 2 = π − ≈ 2 Area 9 18 10.3 ft