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Area of Composite Figures
Objective: Find the area of composite figures.
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Composite Figures:
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Formulas of Areas: 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
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Example 1: Find the area of the composite figure shown below:
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Example 1: In order to find the area of the composite figure:
Separate the composite figure into a: Semi-circle and a Rectangle.
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Solution: Total Area = 140 + 76.93 = 216.93 mm2 2 A = 3.14 × 72
Area 1: Semi-circle or Half circle Area 2: Rectangle: Semicircle: A= π × r2 2 A = 3.14 × 72 A = 3.14 × 49 A = mm2 = 76.93 Rectangle: A= L × W A= 10 × 14 A= 140mm2 Total Area = = mm2
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Example 2: Find the area of the composite figure:
How many figures do you see? _____
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Example 2: Find the area of the composite figure:
Separate the composite figure into a: Triangle Rectangle and a Semi-circle
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Solution: Total Area = 60 + 12 + 14.13 = 86.13 in2 Area 1: Triangle
Area 2: Rectangle Area 3: Semi-circle Triangle: A = b × h 2 A= 4 × 6 A = 24 A = 12in2 Semi circle: A = π × r2 2 A = × 32 ÷ 2 A = × 9 ÷ 2 A = ÷ 2 A = in 2 Rectangle: A = L × W A = 10 × 6 A = 60 in2 Total Area = = in2
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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.) Separate the figure into 3 shapes: 2 rectangles and 1 semi circle.
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Homework: Find the area of the following composite figures:
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