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

Composite Figures:

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

Example 1: Find the area of the composite figure shown below:

Example 1: In order to find the area of the composite figure: Separate the composite figure into a: Semi-circle and a Rectangle.

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 = 153.86mm2 = 76.93 Rectangle: A= L × W A= 10 × 14 A= 140mm2 Total Area = 140 + 76.93 = 216.93 mm2

Example 2: Find the area of the composite figure: How many figures do you see? _____

Example 2: Find the area of the composite figure: Separate the composite figure into a: Triangle Rectangle and a Semi-circle

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 = 3.14 × 32 ÷ 2 A = 3.14 × 9 ÷ 2 A = 28.26 ÷ 2 A = 14.13 in 2 Rectangle: A = L × W A = 10 × 6 A = 60 in2 Total Area = 60 + 12 + 14.13 = 86.13 in2

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.

Homework: Find the area of the following composite figures: