Area of Irregular Figures

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Presentation transcript:

Area of Irregular Figures Return to table of contents

Area of Irregular Figures Method #1 1. Divide the figure into smaller figures (that you know how to find the area of) 2. Label each small figure and find the area of each 3. Add the areas 4. Label your answer

Find the area of the figure. Example: Find the area of the figure. 10 m 6 m 3 m 2 m 10 m 6 m 3 m 2 m #1 #2

Area of Irregular Figures Method #2 1. Create one large, closed figure. 2. Label the small added figure and find the area. 3. Find the area of the new, large figure 4. Subtract the areas 5. Label your answer

Find the area of the figure. Example: Find the area of the figure. 10 m 6 m 3 m 2 m 10 m 6 m 3 m 2 m Whole Rectangle Extra Rectangle

Find the area of each figure. Try These: Find the area of each figure. 20 ft 16 ft 8 ft 10 ft 2m 4m 5m Whole rectangle: A = 5(6) A = 30 m2 Extra rectangle: A = 4(3) A = 12 m2 Total area = 30 – 12 Total area = 18 m2 Whole triangle A = ½(20)(8) A = 80 ft2 Bottom trapezoid A = ½(20 + 16)(10) A = ½(36)(10) A = 180 ft2 Total area = 80 + 180 Total area = 260 ft2

96 Find the area. Top Rectangle 4' 2.5' 1.5' 8.75' 7.75' 5.25' Bottom Rectangle Vertical Rectangle Total Area Answer: 35

97 Find the area. 16 12 19 25 13 35 Answer: 647 Whole New Figure New Rectangle Total Area Answer: 647

98 Find the area. Triangle 8 cm 58 cm 15 cm Rectangle Total Area

99 Find the area. 4 ft. 5 ft. 9 ft. 6 ft. Bottom Right Rectangle Side Rectangle 99 Find the area. 4 ft. Bottom Right Rectangle 5 ft. 9 ft. Half Circle 6 ft. Total Area