Composite Figures A composite figure is formed from two or more figures. To find the area of a composite figure: Find the areas of each figure then add.

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Presentation transcript:

Composite Figures A composite figure is formed from two or more figures. To find the area of a composite figure: Find the areas of each figure then add them up. To find the area of a shaded region, you need to subtract the areas.

Example #1: Find the area of the composite figure. The composite figure contains 2 triangles and 1 square. We need to find the area of each region. Area of 1 triangle: A = ½ bh A = ½ (7)(4) A = ½ (28) A = 14 yds2 Area of square: A = lw or S² A= 7(7) A= 49 yd2 Total area of figure: Add up areas of 2 triangles and square: A = 2(14) + 49 = 28 + 49 = 77 yd2.

Example #2: Find the area of the figure. The figure contains: 1 square and a semicircle Area of square: A = lw or S² A= 6(6) A= 36 ft2 Area of circle: A = r2 A = (3)2 = 9 ft2 Area of semicircle ½ (9) = 4.5 ft2 exact = 14.13ft² estimated 3 ft. Total area of figure: Add areas of square and semicircle: A = 36 + 4.5 ft2 exact A = 36 + 14.13ft² A = 50.13ft² estimated

Diameter = Length of square = = 8 ft. Radius = ½ (8) = 4 ft. Example #3: Find the area of the shaded region if the area of the square is 64 ft2. We are given the area of the square, we need to find the area of the circle. What is its radius? Diameter = Length of square = = 8 ft. Radius = ½ (8) = 4 ft. Area of circle: A = r2 A = (4)2 A = 16 ft2. exact d = 8 ft. Area of shaded region = Area of square – Area of circle A = 64 - 16 ft2. A = 64 – 50.24ft² A = 13.76ft²estimated

QUIZ Show your work! 1. Find the area of the entire figure below. 20 cm 1. Find the area of the entire figure below. 2. Find the area of the shaded region above.